407404716264 has 192 divisors, whose sum is σ = 1362052823040. Its totient is φ = 107127982080.

The previous prime is 407404716221. The next prime is 407404716353. The reversal of 407404716264 is 462617404704.

It is a happy number.

407404716264 is a `hidden beast` number, since 407 + 40 + 47 + 162 + 6 + 4 = 666.

It is a super-2 number, since 2×407404716264² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2115769 + ... + 2300279.

It is an arithmetic number, because the mean of its divisors is an integer number (7094025120).

Almost surely, 2^407404716264 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 407404716264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681026411520).

407404716264 is an abundant number, since it is smaller than the sum of its proper divisors (954648106776).

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

407404716264 is a wasteful number, since it uses less digits than its factorization.

407404716264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184880 (or 184873 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 407404716264 in words is "four hundred seven billion, four hundred four million, seven hundred sixteen thousand, two hundred sixty-four".