361174464 has 280 divisors, whose sum is σ = 1261323360. Its totient is φ = 100030464.

The previous prime is 361174433. The next prime is 361174487. The reversal of 361174464 is 464471163.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1342522 + ... + 1342790.

Almost surely, 2^361174464 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 361174464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630661680).

361174464 is an abundant number, since it is smaller than the sum of its proper divisors (900148896).

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

361174464 is a wasteful number, since it uses less digits than its factorization.

361174464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 318 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 361174464 is about 19004.5906033253. The cubic root of 361174464 is about 712.1514217357.

The spelling of 361174464 in words is "three hundred sixty-one million, one hundred seventy-four thousand, four hundred sixty-four".