400740768 has 36 divisors (see below), whose sum is σ = 1139607378. Its totient is φ = 133580160.

The previous prime is 400740757. The next prime is 400740811. The reversal of 400740768 is 867047004.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 392515344 + 8225424 = 19812^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 695443 + ... + 696018.

Almost surely, 2^400740768 is an apocalyptic number.

400740768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

400740768 is an abundant number, since it is smaller than the sum of its proper divisors (738866610).

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

400740768 is a wasteful number, since it uses less digits than its factorization.

400740768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391477 (or 1391466 counting only the distinct ones).

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

The square root of 400740768 is about 20018.5106339108. The cubic root of 400740768 is about 737.2608546845.

The spelling of 400740768 in words is "four hundred million, seven hundred forty thousand, seven hundred sixty-eight".