400501560 has 128 divisors (see below), whose sum is σ = 1233792000. Its totient is φ = 103973376.

The previous prime is 400501537. The next prime is 400501567. The reversal of 400501560 is 65105004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400501567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786586 + ... + 787094.

It is an arithmetic number, because the mean of its divisors is an integer number (9639000).

Almost surely, 2^400501560 is an apocalyptic number.

400501560 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 400501560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896000).

400501560 is an abundant number, since it is smaller than the sum of its proper divisors (833290440).

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

400501560 is a wasteful number, since it uses less digits than its factorization.

400501560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 400501560 is about 20012.5350717994. The cubic root of 400501560 is about 737.1141315735.

Adding to 400501560 its reverse (65105004), we get a palindrome (465606564).

The spelling of 400501560 in words is "four hundred million, five hundred one thousand, five hundred sixty".