45192000 has 224 divisors, whose sum is σ = 171175680. Its totient is φ = 10291200.

The previous prime is 45191999. The next prime is 45192023. The reversal of 45192000 is 29154.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167866 + ... + 168134.

Almost surely, 2^45192000 is an apocalyptic number.

45192000 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 45192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85587840).

45192000 is an abundant number, since it is smaller than the sum of its proper divisors (125983680).

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

45192000 is a wasteful number, since it uses less digits than its factorization.

45192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 45192000 is about 6722.4995351432. The cubic root of 45192000 is about 356.1944819610.

The spelling of 45192000 in words is "forty-five million, one hundred ninety-two thousand".