400487760 has 160 divisors (see below), whose sum is σ = 1424194560. Its totient is φ = 103334400.

The previous prime is 400487749. The next prime is 400487777. The reversal of 400487760 is 67784004.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63970 + ... + 69950.

It is an arithmetic number, because the mean of its divisors is an integer number (8901216).

Almost surely, 2^400487760 is an apocalyptic number.

400487760 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 400487760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712097280).

400487760 is an abundant number, since it is smaller than the sum of its proper divisors (1023706800).

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

400487760 is a wasteful number, since it uses less digits than its factorization.

400487760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6034 (or 6022 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 400487760 is about 20012.1902849238. The cubic root of 400487760 is about 737.1056652795.

The spelling of 400487760 in words is "four hundred million, four hundred eighty-seven thousand, seven hundred sixty".