400748040 has 512 divisors, whose sum is σ = 1714176000. Its totient is φ = 80870400.

The previous prime is 400748017. The next prime is 400748041. The reversal of 400748040 is 40847004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 400747995 and 400748013.

It is not an unprimeable number, because it can be changed into a prime (400748041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5072721 + ... + 5072799.

It is an arithmetic number, because the mean of its divisors is an integer number (3348000).

Almost surely, 2^400748040 is an apocalyptic number.

400748040 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 400748040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857088000).

400748040 is an abundant number, since it is smaller than the sum of its proper divisors (1313427960).

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

400748040 is a wasteful number, since it uses less digits than its factorization.

400748040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 400748040 is about 20018.6922649807. The cubic root of 400748040 is about 737.2653141996.

The spelling of 400748040 in words is "four hundred million, seven hundred forty-eight thousand, forty".