400546440 has 192 divisors, whose sum is σ = 1516320000. Its totient is φ = 89796096.

The previous prime is 400546439. The next prime is 400546441. The reversal of 400546440 is 44645004.

It is an interprime number because it is at equal distance from previous prime (400546439) and next prime (400546441).

It is not an unprimeable number, because it can be changed into a prime (400546441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132061 + ... + 135059.

It is an arithmetic number, because the mean of its divisors is an integer number (7897500).

Almost surely, 2^400546440 is an apocalyptic number.

400546440 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 400546440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758160000).

400546440 is an abundant number, since it is smaller than the sum of its proper divisors (1115773560).

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

400546440 is a wasteful number, since it uses less digits than its factorization.

400546440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 400546440 is about 20013.6563376111. The cubic root of 400546440 is about 737.1416640893.

The spelling of 400546440 in words is "four hundred million, five hundred forty-six thousand, four hundred forty".