400273536 has 128 divisors (see below), whose sum is σ = 1153938240. Its totient is φ = 122204160.

The previous prime is 400273501. The next prime is 400273537. The reversal of 400273536 is 635372004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (400273537) 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, 903331 + ... + 903773.

Almost surely, 2^400273536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400273536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576969120).

400273536 is an abundant number, since it is smaller than the sum of its proper divisors (753664704).

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

400273536 is a wasteful number, since it uses less digits than its factorization.

400273536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 400273536 is about 20006.8372313067. The cubic root of 400273536 is about 736.9742139984.

The spelling of 400273536 in words is "four hundred million, two hundred seventy-three thousand, five hundred thirty-six".