407958120 has 288 divisors, whose sum is σ = 1478786400. Its totient is φ = 100870272.

The previous prime is 407958079. The next prime is 407958127. The reversal of 407958120 is 21859704.

407958120 is a `hidden beast` number, since 4 + 0 + 79 + 581 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (407958127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8679937 + ... + 8679983.

It is an arithmetic number, because the mean of its divisors is an integer number (5134675).

Almost surely, 2^407958120 is an apocalyptic number.

407958120 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 407958120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739393200).

407958120 is an abundant number, since it is smaller than the sum of its proper divisors (1070828280).

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

407958120 is a wasteful number, since it uses less digits than its factorization.

407958120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 407958120 is about 20197.9731656421. The cubic root of 407958120 is about 741.6605756910.

The spelling of 407958120 in words is "four hundred seven million, nine hundred fifty-eight thousand, one hundred twenty".