407072160 has 288 divisors, whose sum is σ = 1566190080. Its totient is φ = 95385600.

The previous prime is 407072153. The next prime is 407072161. The reversal of 407072160 is 61270704.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407072161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490626 + ... + 491454.

It is an arithmetic number, because the mean of its divisors is an integer number (5438160).

Almost surely, 2^407072160 is an apocalyptic number.

407072160 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 407072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783095040).

407072160 is an abundant number, since it is smaller than the sum of its proper divisors (1159117920).

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

407072160 is a wasteful number, since it uses less digits than its factorization.

407072160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 407072160 is about 20176.0293417709. The cubic root of 407072160 is about 741.1233000851.

The spelling of 407072160 in words is "four hundred seven million, seventy-two thousand, one hundred sixty".