366649920 has 336 divisors, whose sum is σ = 1553260800. Its totient is φ = 77303808.

The previous prime is 366649901. The next prime is 366649937. The reversal of 366649920 is 29946663.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261381 + ... + 262779.

It is an arithmetic number, because the mean of its divisors is an integer number (4622800).

Almost surely, 2^366649920 is an apocalyptic number.

366649920 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 366649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776630400).

366649920 is an abundant number, since it is smaller than the sum of its proper divisors (1186610880).

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

366649920 is a wasteful number, since it uses less digits than its factorization.

366649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 366649920 is about 19148.1048670619. The cubic root of 366649920 is about 715.7321595279.

The spelling of 366649920 in words is "three hundred sixty-six million, six hundred forty-nine thousand, nine hundred twenty".