468239400 has 96 divisors (see below), whose sum is σ = 1612843200. Its totient is φ = 124862400.

The previous prime is 468239389. The next prime is 468239411. The reversal of 468239400 is 4932864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (468239389) and next prime (468239411).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 37956 + ... + 48755.

It is an arithmetic number, because the mean of its divisors is an integer number (16800450).

Almost surely, 2^468239400 is an apocalyptic number.

468239400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468239400 is an abundant number, since it is smaller than the sum of its proper divisors (1144603800).

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

468239400 is a wasteful number, since it uses less digits than its factorization.

468239400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86736 (or 86721 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 468239400 is about 21638.8400798194. The cubic root of 468239400 is about 776.5259701626.

The spelling of 468239400 in words is "four hundred sixty-eight million, two hundred thirty-nine thousand, four hundred".