468393400 has 24 divisors (see below), whose sum is σ = 1089015120. Its totient is φ = 187357280.

The previous prime is 468393391. The next prime is 468393451. The reversal of 468393400 is 4393864.

It is a self number, because there is not a number n which added to its sum of digits gives 468393400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1170784 + ... + 1171183.

It is an arithmetic number, because the mean of its divisors is an integer number (45375630).

Almost surely, 2^468393400 is an apocalyptic number.

468393400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468393400 is an abundant number, since it is smaller than the sum of its proper divisors (620621720).

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

468393400 is a wasteful number, since it uses less digits than its factorization.

468393400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341983 (or 2341974 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 468393400 is about 21642.3982035263. The cubic root of 468393400 is about 776.6110917846.

The spelling of 468393400 in words is "four hundred sixty-eight million, three hundred ninety-three thousand, four hundred".