45735492 has 48 divisors (see below), whose sum is σ = 116891712. Its totient is φ = 13802880.

The previous prime is 45735479. The next prime is 45735493. The reversal of 45735492 is 29453754.

It is a self number, because there is not a number n which added to its sum of digits gives 45735492.

It is not an unprimeable number, because it can be changed into a prime (45735493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41298 + ... + 42390.

It is an arithmetic number, because the mean of its divisors is an integer number (2435244).

Almost surely, 2^45735492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45735492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58445856).

45735492 is an abundant number, since it is smaller than the sum of its proper divisors (71156220).

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

45735492 is a wasteful number, since it uses less digits than its factorization.

45735492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1426 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 45735492 is about 6762.8020819776. The cubic root of 45735492 is about 357.6166949150.

It can be divided in two parts, 457354 and 92, that added together give a triangular number (457446 = T₉₅₆).

The spelling of 45735492 in words is "forty-five million, seven hundred thirty-five thousand, four hundred ninety-two".