401578560 has 140 divisors (see below), whose sum is σ = 1428577788. Its totient is φ = 107080704.

The previous prime is 401578537. The next prime is 401578561. The reversal of 401578560 is 65875104.

401578560 is a `hidden beast` number, since 40 + 1 + 57 + 8 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69755904 + 331822656 = 8352^2 + 18216^2 .

It is a super-2 number, since 2×401578560² = 322530679703347200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (401578561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18174 + ... + 33666.

Almost surely, 2^401578560 is an apocalyptic number.

401578560 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 401578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714288894).

401578560 is an abundant number, since it is smaller than the sum of its proper divisors (1026999228).

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

401578560 is a wasteful number, since it uses less digits than its factorization.

401578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15522 (or 15503 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 401578560 is about 20039.4251414555. The cubic root of 401578560 is about 737.7742716349.

The spelling of 401578560 in words is "four hundred one million, five hundred seventy-eight thousand, five hundred sixty".