407009970900 has 432 divisors, whose sum is σ = 1428729888768. Its totient is φ = 96235776000.

The previous prime is 407009970883. The next prime is 407009970937. The reversal of 407009970900 is 9079900704.

407009970900 is a `hidden beast` number, since 407 + 0 + 0 + 99 + 70 + 90 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 49685805 + ... + 49693995.

Almost surely, 2^407009970900 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 407009970900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714364944384).

407009970900 is an abundant number, since it is smaller than the sum of its proper divisors (1021719917868).

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

407009970900 is a wasteful number, since it uses less digits than its factorization.

407009970900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8392 (or 8382 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 407009970900 in words is "four hundred seven billion, nine million, nine hundred seventy thousand, nine hundred".