372384480 has 192 divisors, whose sum is σ = 1280240640. Its totient is φ = 90433536.

The previous prime is 372384479. The next prime is 372384499. The reversal of 372384480 is 84483273.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 517561 + ... + 518279.

It is an arithmetic number, because the mean of its divisors is an integer number (6667920).

Almost surely, 2^372384480 is an apocalyptic number.

372384480 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 372384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640120320).

372384480 is an abundant number, since it is smaller than the sum of its proper divisors (907856160).

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

372384480 is a wasteful number, since it uses less digits than its factorization.

372384480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 372384480 is about 19297.2661276151. The cubic root of 372384480 is about 719.4443243420. Note that the first 3 decimals are identical.

The spelling of 372384480 in words is "three hundred seventy-two million, three hundred eighty-four thousand, four hundred eighty".