372418560 has 240 divisors, whose sum is σ = 1337836500. Its totient is φ = 99090432.

The previous prime is 372418549. The next prime is 372418567. The reversal of 372418560 is 65814273.

It can be written as a sum of positive squares in 2 ways, for example, as 372335616 + 82944 = 19296^2 + 288^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (372418567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829216 + ... + 829664.

Almost surely, 2^372418560 is an apocalyptic number.

372418560 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 372418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668918250).

372418560 is an abundant number, since it is smaller than the sum of its proper divisors (965417940).

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

372418560 is an equidigital number, since it uses as much as digits as its factorization.

372418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 372418560 is about 19298.1491340491. The cubic root of 372418560 is about 719.4662711165.

The spelling of 372418560 in words is "three hundred seventy-two million, four hundred eighteen thousand, five hundred sixty".