366146400 has 216 divisors, whose sum is σ = 1241217432. Its totient is φ = 93696000.

The previous prime is 366146381. The next prime is 366146423. The reversal of 366146400 is 4641663.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6002370 + ... + 6002430.

It is an arithmetic number, because the mean of its divisors is an integer number (5746377).

Almost surely, 2^366146400 is an apocalyptic number.

366146400 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 366146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620608716).

366146400 is an abundant number, since it is smaller than the sum of its proper divisors (875071032).

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

366146400 is a wasteful number, since it uses less digits than its factorization.

366146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 366146400 is about 19134.9523124569. The cubic root of 366146400 is about 715.4043713249.

It can be divided in two parts, 366 and 146400, that multiplied together give a square (53582400 = 7320²).

The spelling of 366146400 in words is "three hundred sixty-six million, one hundred forty-six thousand, four hundred".