400153000 has 64 divisors (see below), whose sum is σ = 1008418320. Its totient is φ = 147744000.

The previous prime is 400152959. The next prime is 400153009. The reversal of 400153000 is 351004.

It can be written as a sum of positive squares in 8 ways, for example, as 11195716 + 388957284 = 3346^2 + 19722^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (400153009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2391 + ... + 28390.

Almost surely, 2^400153000 is an apocalyptic number.

400153000 is a gapful number since it is divisible by the number (40) 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 400153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504209160).

400153000 is an abundant number, since it is smaller than the sum of its proper divisors (608265320).

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

400153000 is a wasteful number, since it uses less digits than its factorization.

400153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30815 (or 30801 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 400153000 is about 20003.8246343043. The cubic root of 400153000 is about 736.9002305561.

The spelling of 400153000 in words is "four hundred million, one hundred fifty-three thousand".