407090016 has 96 divisors (see below), whose sum is σ = 1225728000. Its totient is φ = 131310720.

The previous prime is 407090011. The next prime is 407090051. The reversal of 407090016 is 610090704.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×407090016² = 331444562253760512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407090011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19185 + ... + 34383.

It is an arithmetic number, because the mean of its divisors is an integer number (12768000).

Almost surely, 2^407090016 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 407090016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612864000).

407090016 is an abundant number, since it is smaller than the sum of its proper divisors (818637984).

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

407090016 is a wasteful number, since it uses less digits than its factorization.

407090016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15249 (or 15235 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 407090016 is about 20176.4718422226. The cubic root of 407090016 is about 741.1341362508.

The spelling of 407090016 in words is "four hundred seven million, ninety thousand, sixteen".