4098560400 has 405 divisors, whose sum is σ = 15796536483. Its totient is φ = 983347200.

The previous prime is 4098560393. The next prime is 4098560407. The reversal of 4098560400 is 40658904.

The square root of 4098560400 is 64020.

It is a perfect power (a square), and thus also a powerful number.

4098560400 is a `hidden beast` number, since 4 + 0 + 98 + 560 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4098560393) and next prime (4098560407).

It can be written as a sum of positive squares in 4 ways, for example, as 150700176 + 3947860224 = 12276^2 + 62832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4098560407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42253152 + ... + 42253248.

Almost surely, 2^4098560400 is an apocalyptic number.

4098560400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4098560400 is the 64020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4098560400

4098560400 is an abundant number, since it is smaller than the sum of its proper divisors (11697976083).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4098560400 is a wasteful number, since it uses less digits than its factorization.

4098560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 4098560400 is about 1600.3333159746. Note that the first 4 decimals are identical.

Multiplying 4098560400 by its sum of digits (36), we get a square (147548174400 = 384120²).

4098560400 divided by its sum of digits (36) gives a square (113848900 = 10670²).

The spelling of 4098560400 in words is "four billion, ninety-eight million, five hundred sixty thousand, four hundred".