402312000 has 112 divisors (see below), whose sum is σ = 1328513472. Its totient is φ = 107276800.

The previous prime is 402311981. The next prime is 402312007. The reversal of 402312000 is 213204.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402312007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15619 + ... + 32381.

Almost surely, 2^402312000 is an apocalyptic number.

402312000 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 402312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664256736).

402312000 is an abundant number, since it is smaller than the sum of its proper divisors (926201472).

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

402312000 is a wasteful number, since it uses less digits than its factorization.

402312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16793 (or 16773 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 402312000 is about 20057.7167195072. The cubic root of 402312000 is about 738.2231535567.

Adding to 402312000 its reverse (213204), we get a palindrome (402525204).

The spelling of 402312000 in words is "four hundred two million, three hundred twelve thousand".