407601360 has 120 divisors (see below), whose sum is σ = 1375861344. Its totient is φ = 108138240.

The previous prime is 407601353. The next prime is 407601371. The reversal of 407601360 is 63106704.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×407601360² = 332277737347699200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150579 + ... + 153261.

Almost surely, 2^407601360 is an apocalyptic number.

407601360 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 407601360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687930672).

407601360 is an abundant number, since it is smaller than the sum of its proper divisors (968259984).

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

407601360 is a wasteful number, since it uses less digits than its factorization.

407601360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 407601360 is about 20189.1396547748. The cubic root of 407601360 is about 741.4443182036. Note that the first 3 decimals are identical.

The spelling of 407601360 in words is "four hundred seven million, six hundred one thousand, three hundred sixty".