413472600 has 120 divisors (see below), whose sum is σ = 1436107860. Its totient is φ = 110255040.

The previous prime is 413472581. The next prime is 413472601. The reversal of 413472600 is 6274314.

413472600 is a `hidden beast` number, since 4 + 13 + 47 + 2 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413472601) 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 29 ways as a sum of consecutive naturals, for example, 3439 + ... + 28961.

Almost surely, 2^413472600 is an apocalyptic number.

413472600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413472600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718053930).

413472600 is an abundant number, since it is smaller than the sum of its proper divisors (1022635260).

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

413472600 is a wasteful number, since it uses less digits than its factorization.

413472600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25551 (or 25533 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 413472600 is about 20334.0256712733. The cubic root of 413472600 is about 744.9873727271.

The spelling of 413472600 in words is "four hundred thirteen million, four hundred seventy-two thousand, six hundred".