457947400 has 48 divisors (see below), whose sum is σ = 1071181440. Its totient is φ = 182068800.

The previous prime is 457947397. The next prime is 457947403. The reversal of 457947400 is 4749754.

It is an interprime number because it is at equal distance from previous prime (457947397) and next prime (457947403).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457947403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26545 + ... + 40255.

It is an arithmetic number, because the mean of its divisors is an integer number (22316280).

Almost surely, 2^457947400 is an apocalyptic number.

457947400 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 457947400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535590720).

457947400 is an abundant number, since it is smaller than the sum of its proper divisors (613234040).

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

457947400 is a wasteful number, since it uses less digits than its factorization.

457947400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13894 (or 13885 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 457947400 is about 21399.7056054517. The cubic root of 457947400 is about 770.7943677081.

The spelling of 457947400 in words is "four hundred fifty-seven million, nine hundred forty-seven thousand, four hundred".