376993440 has 240 divisors, whose sum is σ = 1401412320. Its totient is φ = 95178240.

The previous prime is 376993433. The next prime is 376993447. The reversal of 376993440 is 44399673.

It is an interprime number because it is at equal distance from previous prime (376993433) and next prime (376993447).

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 (45).

It is not an unprimeable number, because it can be changed into a prime (376993447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245475 + ... + 247005.

It is an arithmetic number, because the mean of its divisors is an integer number (5839218).

Almost surely, 2^376993440 is an apocalyptic number.

376993440 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 376993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700706160).

376993440 is an abundant number, since it is smaller than the sum of its proper divisors (1024418880).

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

376993440 is a wasteful number, since it uses less digits than its factorization.

376993440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 376993440 is about 19416.3189096183. The cubic root of 376993440 is about 722.4003222921.

The spelling of 376993440 in words is "three hundred seventy-six million, nine hundred ninety-three thousand, four hundred forty".