457300740 has 192 divisors, whose sum is σ = 1478937600. Its totient is φ = 104633856.

The previous prime is 457300729. The next prime is 457300751. The reversal of 457300740 is 47003754.

It is an interprime number because it is at equal distance from previous prime (457300729) and next prime (457300751).

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

It is a junction number, because it is equal to n+sod(n) for n = 457300698 and 457300707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 874119 + ... + 874641.

It is an arithmetic number, because the mean of its divisors is an integer number (7702800).

Almost surely, 2^457300740 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 457300740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739468800).

457300740 is an abundant number, since it is smaller than the sum of its proper divisors (1021636860).

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

457300740 is a wasteful number, since it uses less digits than its factorization.

457300740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 457300740 is about 21384.5911815026. The cubic root of 457300740 is about 770.4313881142.

The spelling of 457300740 in words is "four hundred fifty-seven million, three hundred thousand, seven hundred forty".