400762440 has 192 divisors, whose sum is σ = 1476820800. Its totient is φ = 93436416.

The previous prime is 400762409. The next prime is 400762441. The reversal of 400762440 is 44267004.

It is a super-2 number, since 2×400762440² = 321221066629507200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400762441) 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, 86667 + ... + 91173.

It is an arithmetic number, because the mean of its divisors is an integer number (7691775).

Almost surely, 2^400762440 is an apocalyptic number.

400762440 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 400762440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738410400).

400762440 is an abundant number, since it is smaller than the sum of its proper divisors (1076058360).

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

400762440 is a wasteful number, since it uses less digits than its factorization.

400762440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 400762440 is about 20019.0519256033. The cubic root of 400762440 is about 737.2741447634.

The spelling of 400762440 in words is "four hundred million, seven hundred sixty-two thousand, four hundred forty".