469380720 has 80 divisors (see below), whose sum is σ = 1482574752. Its totient is φ = 122803200.

The previous prime is 469380719. The next prime is 469380739. The reversal of 469380720 is 27083964.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5731 + ... + 31170.

Almost surely, 2^469380720 is an apocalyptic number.

469380720 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 469380720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741287376).

469380720 is an abundant number, since it is smaller than the sum of its proper divisors (1013194032).

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

469380720 is a wasteful number, since it uses less digits than its factorization.

469380720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36970 (or 36964 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 469380720 is about 21665.1960526555. The cubic root of 469380720 is about 777.1563781065.

The spelling of 469380720 in words is "four hundred sixty-nine million, three hundred eighty thousand, seven hundred twenty".