401654560 has 24 divisors (see below), whose sum is σ = 948909276. Its totient is φ = 160661760.

The previous prime is 401654551. The next prime is 401654579. The reversal of 401654560 is 65456104.

It can be written as a sum of positive squares in 2 ways, for example, as 360848016 + 40806544 = 18996^2 + 6388^2 .

It is a super-2 number, since 2×401654560² = 322652771137587200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1255011 + ... + 1255330.

Almost surely, 2^401654560 is an apocalyptic number.

401654560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401654560 is an abundant number, since it is smaller than the sum of its proper divisors (547254716).

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

401654560 is a wasteful number, since it uses less digits than its factorization.

401654560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510356 (or 2510348 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 401654560 is about 20041.3213137258. The cubic root of 401654560 is about 737.8208107295.

The spelling of 401654560 in words is "four hundred one million, six hundred fifty-four thousand, five hundred sixty".