366806400 has 192 divisors, whose sum is σ = 1272388800. Its totient is φ = 92620800.

The previous prime is 366806387. The next prime is 366806411. The reversal of 366806400 is 4608663.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181395 + ... + 183405.

It is an arithmetic number, because the mean of its divisors is an integer number (6627025).

Almost surely, 2^366806400 is an apocalyptic number.

366806400 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 366806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636194400).

366806400 is an abundant number, since it is smaller than the sum of its proper divisors (905582400).

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

366806400 is a wasteful number, since it uses less digits than its factorization.

366806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 366806400 is about 19152.1904752433. The cubic root of 366806400 is about 715.8339658497.

The spelling of 366806400 in words is "three hundred sixty-six million, eight hundred six thousand, four hundred".