468473760 has 192 divisors, whose sum is σ = 1736380800. Its totient is φ = 117559296.

The previous prime is 468473741. The next prime is 468473779. The reversal of 468473760 is 67374864.

It is an interprime number because it is at equal distance from previous prime (468473741) and next prime (468473779).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70251 + ... + 76629.

It is an arithmetic number, because the mean of its divisors is an integer number (9043650).

Almost surely, 2^468473760 is an apocalyptic number.

468473760 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 468473760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868190400).

468473760 is an abundant number, since it is smaller than the sum of its proper divisors (1267907040).

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

468473760 is a wasteful number, since it uses less digits than its factorization.

468473760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6420 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 468473760 is about 21644.2546649221. The cubic root of 468473760 is about 776.6555023866.

The spelling of 468473760 in words is "four hundred sixty-eight million, four hundred seventy-three thousand, seven hundred sixty".