45673992 has 96 divisors (see below), whose sum is σ = 152268480. Its totient is φ = 12044160.

The previous prime is 45673981. The next prime is 45673997. The reversal of 45673992 is 29937654.

It is a happy number.

It is a super-2 number, since 2×45673992² = 4172227090432128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45673997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3067 + ... + 10037.

It is an arithmetic number, because the mean of its divisors is an integer number (1586130).

Almost surely, 2^45673992 is an apocalyptic number.

45673992 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 45673992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76134240).

45673992 is an abundant number, since it is smaller than the sum of its proper divisors (106594488).

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

45673992 is a wasteful number, since it uses less digits than its factorization.

45673992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7003 (or 6996 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 45673992 is about 6758.2536205739. The cubic root of 45673992 is about 357.4563286345.

It can be divided in two parts, 45673 and 992, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 45673992 in words is "forty-five million, six hundred seventy-three thousand, nine hundred ninety-two".