361466496 has 128 divisors (see below), whose sum is σ = 1093276800. Its totient is φ = 117504000.

The previous prime is 361466491. The next prime is 361466503. The reversal of 361466496 is 694664163.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (361466491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140421 + ... + 142971.

It is an arithmetic number, because the mean of its divisors is an integer number (8541225).

Almost surely, 2^361466496 is an apocalyptic number.

361466496 is a gapful number since it is divisible by the number (36) 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 361466496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546638400).

361466496 is an abundant number, since it is smaller than the sum of its proper divisors (731810304).

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

361466496 is a wasteful number, since it uses less digits than its factorization.

361466496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2597 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 361466496 is about 19012.2722471566. The cubic root of 361466496 is about 712.3433095881.

The spelling of 361466496 in words is "three hundred sixty-one million, four hundred sixty-six thousand, four hundred ninety-six".