407086560 has 240 divisors, whose sum is σ = 1455566112. Its totient is φ = 107136000.

The previous prime is 407086541. The next prime is 407086613. The reversal of 407086560 is 65680704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1308805 + ... + 1309115.

Almost surely, 2^407086560 is an apocalyptic number.

407086560 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 407086560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727783056).

407086560 is an abundant number, since it is smaller than the sum of its proper divisors (1048479552).

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

407086560 is a wasteful number, since it uses less digits than its factorization.

407086560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 407086560 is about 20176.3861977312. The cubic root of 407086560 is about 741.1320389531.

The spelling of 407086560 in words is "four hundred seven million, eighty-six thousand, five hundred sixty".