4090298400 has 108 divisors (see below), whose sum is σ = 14423440122. Its totient is φ = 1090744320.

The previous prime is 4090298371. The next prime is 4090298411. The reversal of 4090298400 is 48920904.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3883283856 + 207014544 = 62316^2 + 14388^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 276849 + ... + 291248.

Almost surely, 2^4090298400 is an apocalyptic number.

4090298400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4090298400 is an abundant number, since it is smaller than the sum of its proper divisors (10333141722).

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

4090298400 is a wasteful number, since it uses less digits than its factorization.

4090298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568123 (or 568107 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4090298400 is about 63955.4407380639. The cubic root of 4090298400 is about 1599.2572594303.

The spelling of 4090298400 in words is "four billion, ninety million, two hundred ninety-eight thousand, four hundred".