374145408 has 384 divisors, whose sum is σ = 1372250880. Its totient is φ = 95219712.

The previous prime is 374145403. The next prime is 374145413. The reversal of 374145408 is 804541473.

It is an interprime number because it is at equal distance from previous prime (374145403) and next prime (374145413).

It is a tau number, because it is divible by the number of its divisors (384).

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 (374145403) 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, 4507735 + ... + 4507817.

It is an arithmetic number, because the mean of its divisors is an integer number (3573570).

Almost surely, 2^374145408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686125440).

374145408 is an abundant number, since it is smaller than the sum of its proper divisors (998105472).

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

374145408 is a wasteful number, since it uses less digits than its factorization.

374145408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 374145408 is about 19342.8386748171. The cubic root of 374145408 is about 720.5765751930.

The spelling of 374145408 in words is "three hundred seventy-four million, one hundred forty-five thousand, four hundred eight".