402054000 has 160 divisors (see below), whose sum is σ = 1309898304. Its totient is φ = 106086400.

The previous prime is 402053983. The next prime is 402054017. The reversal of 402054000 is 450204.

It is an interprime number because it is at equal distance from previous prime (402053983) and next prime (402054017).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677704 + ... + 678296.

Almost surely, 2^402054000 is an apocalyptic number.

402054000 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 402054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654949152).

402054000 is an abundant number, since it is smaller than the sum of its proper divisors (907844304).

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

402054000 is a wasteful number, since it uses less digits than its factorization.

402054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 402054000 is about 20051.2842481473. The cubic root of 402054000 is about 738.0653139512.

The spelling of 402054000 in words is "four hundred two million, fifty-four thousand".