946572480 has 672 divisors, whose sum is σ = 4047353856. Its totient is φ = 206032896.

The previous prime is 946572469. The next prime is 946572511. The reversal of 946572480 is 84275649.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 20139817 + ... + 20139863.

It is an arithmetic number, because the mean of its divisors is an integer number (6022848).

Almost surely, 2^946572480 is an apocalyptic number.

946572480 is a gapful number since it is divisible by the number (90) 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 946572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023676928).

946572480 is an abundant number, since it is smaller than the sum of its proper divisors (3100781376).

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

946572480 is a wasteful number, since it uses less digits than its factorization.

946572480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

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

The square root of 946572480 is about 30766.4180560559. The cubic root of 946572480 is about 981.8638968613.

The spelling of 946572480 in words is "nine hundred forty-six million, five hundred seventy-two thousand, four hundred eighty".