366612480 has 520 divisors, whose sum is σ = 1498559832. Its totient is φ = 84934656.

The previous prime is 366612457. The next prime is 366612509. The reversal of 366612480 is 84216663.

It can be written as a sum of positive squares in 4 ways, for example, as 26873856 + 339738624 = 5184^2 + 18432^2 .

It is a tau number, because it is divible by the number of its divisors (520).

It is a super-3 number, since 3×366612480³ (a number of 27 digits) contains 333 as substring.

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

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, 21565432 + ... + 21565448.

Almost surely, 2^366612480 is an apocalyptic number.

366612480 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 366612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749279916).

366612480 is an abundant number, since it is smaller than the sum of its proper divisors (1131947352).

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

366612480 is a wasteful number, since it uses less digits than its factorization.

366612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 366612480 is about 19147.1271996610. The cubic root of 366612480 is about 715.7077966659.

The spelling of 366612480 in words is "three hundred sixty-six million, six hundred twelve thousand, four hundred eighty".