407988900 has 360 divisors, whose sum is σ = 1525006560. Its totient is φ = 93312000.

The previous prime is 407988869. The next prime is 407988941. The reversal of 407988900 is 9889704.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1692780 + ... + 1693020.

Almost surely, 2^407988900 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 407988900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762503280).

407988900 is an abundant number, since it is smaller than the sum of its proper divisors (1117017660).

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

407988900 is a wasteful number, since it uses less digits than its factorization.

407988900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 407988900 is about 20198.7351089121. The cubic root of 407988900 is about 741.6792277186.

The spelling of 407988900 in words is "four hundred seven million, nine hundred eighty-eight thousand, nine hundred".