45919800 has 144 divisors (see below), whose sum is σ = 156396240. Its totient is φ = 12072960.

The previous prime is 45919781. The next prime is 45919801. The reversal of 45919800 is 891954.

It is a super-3 number, since 3×45919800³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45919801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174469 + ... + 174731.

It is an arithmetic number, because the mean of its divisors is an integer number (1086085).

Almost surely, 2^45919800 is an apocalyptic number.

45919800 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 45919800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78198120).

45919800 is an abundant number, since it is smaller than the sum of its proper divisors (110476440).

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

45919800 is a wasteful number, since it uses less digits than its factorization.

45919800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 45919800 is about 6776.4149813895. The cubic root of 45919800 is about 358.0964337658.

The spelling of 45919800 in words is "forty-five million, nine hundred nineteen thousand, eight hundred".