374905440 has 288 divisors, whose sum is σ = 1575153216. Its totient is φ = 79073280.

The previous prime is 374905343. The next prime is 374905441. The reversal of 374905440 is 44509473.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 374905395 and 374905404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374905441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129610 + ... + 132470.

It is an arithmetic number, because the mean of its divisors is an integer number (5469282).

Almost surely, 2^374905440 is an apocalyptic number.

374905440 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 374905440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787576608).

374905440 is an abundant number, since it is smaller than the sum of its proper divisors (1200247776).

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

374905440 is a wasteful number, since it uses less digits than its factorization.

374905440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 374905440 is about 19362.4750484023. The cubic root of 374905440 is about 721.0641671163.

The spelling of 374905440 in words is "three hundred seventy-four million, nine hundred five thousand, four hundred forty".