372414240 has 384 divisors, whose sum is σ = 1508855040. Its totient is φ = 84787200.

The previous prime is 372414233. The next prime is 372414299. The reversal of 372414240 is 42414273.

372414240 is a `hidden beast` number, since 3 + 7 + 2 + 414 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807610 + ... + 808070.

It is an arithmetic number, because the mean of its divisors is an integer number (3929310).

Almost surely, 2^372414240 is an apocalyptic number.

372414240 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 372414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754427520).

372414240 is an abundant number, since it is smaller than the sum of its proper divisors (1136440800).

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

372414240 is a wasteful number, since it uses less digits than its factorization.

372414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 372414240 is about 19298.0372058922. The cubic root of 372414240 is about 719.4634892051.

The spelling of 372414240 in words is "three hundred seventy-two million, four hundred fourteen thousand, two hundred forty".