468594720 has 480 divisors, whose sum is σ = 1910018880. Its totient is φ = 106997760.

The previous prime is 468594691. The next prime is 468594733. The reversal of 468594720 is 27495864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×468594720² = 439162023223756800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 2708554 + ... + 2708726.

It is an arithmetic number, because the mean of its divisors is an integer number (3979206).

Almost surely, 2^468594720 is an apocalyptic number.

468594720 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 468594720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955009440).

468594720 is an abundant number, since it is smaller than the sum of its proper divisors (1441424160).

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

468594720 is a wasteful number, since it uses less digits than its factorization.

468594720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 468594720 is about 21647.0487595885. The cubic root of 468594720 is about 776.7223408261.

The spelling of 468594720 in words is "four hundred sixty-eight million, five hundred ninety-four thousand, seven hundred twenty".