400565088 has 336 divisors, whose sum is σ = 1480743936. Its totient is φ = 103576320.

The previous prime is 400565069. The next prime is 400565107. The reversal of 400565088 is 880565004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400565069) and next prime (400565107).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1796145 + ... + 1796367.

It is an arithmetic number, because the mean of its divisors is an integer number (4406976).

Almost surely, 2^400565088 is an apocalyptic number.

400565088 is a gapful number since it is divisible by the number (48) 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 400565088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740371968).

400565088 is an abundant number, since it is smaller than the sum of its proper divisors (1080178848).

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

400565088 is a wasteful number, since it uses less digits than its factorization.

400565088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 400565088 is about 20014.1222140767. The cubic root of 400565088 is about 737.1531034657.

The spelling of 400565088 in words is "four hundred million, five hundred sixty-five thousand, eighty-eight".