45838800 has 360 divisors, whose sum is σ = 194291136. Its totient is φ = 9768960.

The previous prime is 45838769. The next prime is 45838823. The reversal of 45838800 is 883854.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 428347 + ... + 428453.

Almost surely, 2^45838800 is an apocalyptic number.

45838800 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 45838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97145568).

45838800 is an abundant number, since it is smaller than the sum of its proper divisors (148452336).

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

45838800 is a wasteful number, since it uses less digits than its factorization.

45838800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 45838800 is about 6770.4357319156. The cubic root of 45838800 is about 357.8857557086.

The spelling of 45838800 in words is "forty-five million, eight hundred thirty-eight thousand, eight hundred".