45209892 has 96 divisors (see below), whose sum is σ = 136729600. Its totient is φ = 11290752.

The previous prime is 45209887. The next prime is 45209897. The reversal of 45209892 is 29890254.

It is an interprime number because it is at equal distance from previous prime (45209887) and next prime (45209897).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 45209892.

It is not an unprimeable number, because it can be changed into a prime (45209897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19659 + ... + 21837.

Almost surely, 2^45209892 is an apocalyptic number.

45209892 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 45209892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68364800).

45209892 is an abundant number, since it is smaller than the sum of its proper divisors (91519708).

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

45209892 is a wasteful number, since it uses less digits than its factorization.

45209892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 45209892 is about 6723.8301584737. The cubic root of 45209892 is about 356.2414828373.

The spelling of 45209892 in words is "forty-five million, two hundred nine thousand, eight hundred ninety-two".