332478720 has 648 divisors, whose sum is σ = 1454019840. Its totient is φ = 69672960.

The previous prime is 332478703. The next prime is 332478721. The reversal of 332478720 is 27874233.

It is a super-2 number, since 2×332478720² = 221084198505676800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332478721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10725105 + ... + 10725135.

Almost surely, 2^332478720 is an apocalyptic number.

332478720 is a gapful number since it is divisible by the number (30) 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 332478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727009920).

332478720 is an abundant number, since it is smaller than the sum of its proper divisors (1121541120).

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

332478720 is a wasteful number, since it uses less digits than its factorization.

332478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 332478720 is about 18233.9990128331. Note that the first 3 decimals coincide. The cubic root of 332478720 is about 692.7682114321.

Adding to 332478720 its sum of digits (36), we get a square (332478756 = 18234²).

The spelling of 332478720 in words is "three hundred thirty-two million, four hundred seventy-eight thousand, seven hundred twenty".