400137088 has 64 divisors (see below), whose sum is σ = 886273920. Its totient is φ = 178698240.

The previous prime is 400137083. The next prime is 400137091. The reversal of 400137088 is 880731004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400137083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47706 + ... + 55462.

It is an arithmetic number, because the mean of its divisors is an integer number (13848030).

Almost surely, 2^400137088 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 400137088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443136960).

400137088 is an abundant number, since it is smaller than the sum of its proper divisors (486136832).

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

400137088 is a wasteful number, since it uses less digits than its factorization.

400137088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7815 (or 7803 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 400137088 is about 20003.4269064078. The cubic root of 400137088 is about 736.8904628657.

The spelling of 400137088 in words is "four hundred million, one hundred thirty-seven thousand, eighty-eight".