400894000 has 160 divisors (see below), whose sum is σ = 1106554176. Its totient is φ = 139161600.

The previous prime is 400893959. The next prime is 400894007. The reversal of 400894000 is 498004.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (400894007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441547 + ... + 442453.

Almost surely, 2^400894000 is an apocalyptic number.

400894000 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 400894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553277088).

400894000 is an abundant number, since it is smaller than the sum of its proper divisors (705660176).

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

400894000 is a wasteful number, since it uses less digits than its factorization.

400894000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 400894000 is about 20022.3375258734. The cubic root of 400894000 is about 737.3548119825.

The spelling of 400894000 in words is "four hundred million, eight hundred ninety-four thousand".