400158000 has 480 divisors, whose sum is σ = 1593326592. Its totient is φ = 92736000.

The previous prime is 400157983. The next prime is 400158007. The reversal of 400158000 is 851004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400158007) 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 95 ways as a sum of consecutive naturals, for example, 8513977 + ... + 8514023.

Almost surely, 2^400158000 is an apocalyptic number.

400158000 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 400158000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796663296).

400158000 is an abundant number, since it is smaller than the sum of its proper divisors (1193168592).

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

400158000 is a wasteful number, since it uses less digits than its factorization.

400158000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 400158000 is about 20003.9496100145. The cubic root of 400158000 is about 736.9032997870.

It can be divided in two parts, 4001 and 58000, that added together give a square (62001 = 249²).

The spelling of 400158000 in words is "four hundred million, one hundred fifty-eight thousand".