45291456 has 168 divisors, whose sum is σ = 152156160. Its totient is φ = 12612096.

The previous prime is 45291443. The next prime is 45291457. The reversal of 45291456 is 65419254.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45291456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45291457) 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, 189385 + ... + 189623.

Almost surely, 2^45291456 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 45291456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76078080).

45291456 is an abundant number, since it is smaller than the sum of its proper divisors (106864704).

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

45291456 is a wasteful number, since it uses less digits than its factorization.

45291456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 45291456 is about 6729.8927183128. The cubic root of 45291456 is about 356.4555880750.

The spelling of 45291456 in words is "forty-five million, two hundred ninety-one thousand, four hundred fifty-six".