45426720 has 192 divisors, whose sum is σ = 160030080. Its totient is φ = 10764288.

The previous prime is 45426707. The next prime is 45426727. The reversal of 45426720 is 2762454.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 586 × 570 × 136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45426727) 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, 154894 + ... + 155186.

It is an arithmetic number, because the mean of its divisors is an integer number (833490).

Almost surely, 2^45426720 is an apocalyptic number.

45426720 is a gapful number since it is divisible by the number (40) 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 45426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80015040).

45426720 is an abundant number, since it is smaller than the sum of its proper divisors (114603360).

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

45426720 is a wasteful number, since it uses less digits than its factorization.

45426720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 45426720 is about 6739.9347177847. The cubic root of 45426720 is about 356.8100897359.

The spelling of 45426720 in words is "forty-five million, four hundred twenty-six thousand, seven hundred twenty".