457245720 has 192 divisors, whose sum is σ = 1529349120. Its totient is φ = 118444032.

The previous prime is 457245709. The next prime is 457245731. The reversal of 457245720 is 27542754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (457245709) and next prime (457245731).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3337492 + ... + 3337628.

It is an arithmetic number, because the mean of its divisors is an integer number (7965360).

Almost surely, 2^457245720 is an apocalyptic number.

457245720 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 457245720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764674560).

457245720 is an abundant number, since it is smaller than the sum of its proper divisors (1072103400).

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

457245720 is a wasteful number, since it uses less digits than its factorization.

457245720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 457245720 is about 21383.3047025010. The cubic root of 457245720 is about 770.4004888019.

The spelling of 457245720 in words is "four hundred fifty-seven million, two hundred forty-five thousand, seven hundred twenty".