45854592 has 96 divisors (see below), whose sum is σ = 141745320. Its totient is φ = 13095936.

The previous prime is 45854591. The next prime is 45854603. The reversal of 45854592 is 29545854.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45854591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17598 + ... + 20034.

Almost surely, 2^45854592 is an apocalyptic number.

45854592 is a gapful number since it is divisible by the number (42) 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 45854592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70872660).

45854592 is an abundant number, since it is smaller than the sum of its proper divisors (95890728).

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

45854592 is a wasteful number, since it uses less digits than its factorization.

45854592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2449 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 45854592 is about 6771.6018784332. The cubic root of 45854592 is about 357.9268495923.

The spelling of 45854592 in words is "forty-five million, eight hundred fifty-four thousand, five hundred ninety-two".