400529088 has 84 divisors (see below), whose sum is σ = 1151275320. Its totient is φ = 133134336.

The previous prime is 400529071. The next prime is 400529099. The reversal of 400529088 is 880925004.

It is a super-2 number, since 2×400529088² = 320847100668223488, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268248 + ... + 269736.

Almost surely, 2^400529088 is an apocalyptic number.

400529088 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 400529088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575637660).

400529088 is an abundant number, since it is smaller than the sum of its proper divisors (750746232).

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

400529088 is a wasteful number, since it uses less digits than its factorization.

400529088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 400529088 is about 20013.2228289199. Note that the first 3 decimals coincide. The cubic root of 400529088 is about 737.1310194087.

The spelling of 400529088 in words is "four hundred million, five hundred twenty-nine thousand, eighty-eight".