414460480 has 56 divisors (see below), whose sum is σ = 1127930688. Its totient is φ = 142099968.

The previous prime is 414460463. The next prime is 414460481. The reversal of 414460480 is 84064414.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (414460481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90274 + ... + 94753.

Almost surely, 2^414460480 is an apocalyptic number.

414460480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414460480 is an abundant number, since it is smaller than the sum of its proper divisors (713470208).

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

414460480 is a wasteful number, since it uses less digits than its factorization.

414460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185051 (or 185041 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 414460480 is about 20358.3024832622. The cubic root of 414460480 is about 745.5802155409.

The spelling of 414460480 in words is "four hundred fourteen million, four hundred sixty thousand, four hundred eighty".