366946560 has 216 divisors, whose sum is σ = 1295703864. Its totient is φ = 95846400.

The previous prime is 366946553. The next prime is 366946571. The reversal of 366946560 is 65649663.

It can be written as a sum of positive squares in 4 ways, for example, as 125081856 + 241864704 = 11184^2 + 15552^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610260 + ... + 610860.

It is an arithmetic number, because the mean of its divisors is an integer number (5998629).

Almost surely, 2^366946560 is an apocalyptic number.

366946560 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 366946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647851932).

366946560 is an abundant number, since it is smaller than the sum of its proper divisors (928757304).

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

366946560 is a wasteful number, since it uses less digits than its factorization.

366946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 366946560 is about 19155.8492372434. The cubic root of 366946560 is about 715.9251297554.

The spelling of 366946560 in words is "three hundred sixty-six million, nine hundred forty-six thousand, five hundred sixty".