400753440 has 96 divisors (see below), whose sum is σ = 1402652160. Its totient is φ = 106866432.

The previous prime is 400753439. The next prime is 400753447. The reversal of 400753440 is 44357004.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (400753447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42064 + ... + 50703.

It is an arithmetic number, because the mean of its divisors is an integer number (14610960).

Almost surely, 2^400753440 is an apocalyptic number.

400753440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400753440 is an abundant number, since it is smaller than the sum of its proper divisors (1001898720).

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

400753440 is a wasteful number, since it uses less digits than its factorization.

400753440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92791 (or 92777 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 400753440 is about 20018.8271384714. The cubic root of 400753440 is about 737.2686256858.

The spelling of 400753440 in words is "four hundred million, seven hundred fifty-three thousand, four hundred forty".