45662400 has 336 divisors, whose sum is σ = 191495680. Its totient is φ = 10368000.

The previous prime is 45662399. The next prime is 45662413. The reversal of 45662400 is 426654.

It is a happy number.

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 (27).

It is a congruent number.

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, 302325 + ... + 302475.

Almost surely, 2^45662400 is an apocalyptic number.

45662400 is a gapful number since it is divisible by the number (40) 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 45662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95747840).

45662400 is an abundant number, since it is smaller than the sum of its proper divisors (145833280).

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

45662400 is a wasteful number, since it uses less digits than its factorization.

45662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45662400 is about 6757.3959481445. The cubic root of 45662400 is about 357.4260854247.

The spelling of 45662400 in words is "forty-five million, six hundred sixty-two thousand, four hundred".