407396900 has 72 divisors (see below), whose sum is σ = 901254816. Its totient is φ = 159827200.

The previous prime is 407396897. The next prime is 407396903. The reversal of 407396900 is 9693704.

It is an interprime number because it is at equal distance from previous prime (407396897) and next prime (407396903).

It is a super-2 number, since 2×407396900² = 331944468259220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (407396903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1794587 + ... + 1794813.

It is an arithmetic number, because the mean of its divisors is an integer number (12517428).

Almost surely, 2^407396900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407396900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450627408).

407396900 is an abundant number, since it is smaller than the sum of its proper divisors (493857916).

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

407396900 is a wasteful number, since it uses less digits than its factorization.

407396900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 407396900 is about 20184.0754061215. The cubic root of 407396900 is about 741.3203236385.

The spelling of 407396900 in words is "four hundred seven million, three hundred ninety-six thousand, nine hundred".