8457400 has 72 divisors (see below), whose sum is σ = 22900320. Its totient is φ = 2896320.

The previous prime is 8457391. The next prime is 8457401. The reversal of 8457400 is 47548.

It is a super-2 number, since 2×8457400² = 143055229520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8457401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9369 + ... + 10231.

It is an arithmetic number, because the mean of its divisors is an integer number (318060).

Almost surely, 2^8457400 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 8457400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450160).

8457400 is an abundant number, since it is smaller than the sum of its proper divisors (14442920).

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

8457400 is a wasteful number, since it uses less digits than its factorization.

8457400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 8457400 is about 2908.1609308977. The cubic root of 8457400 is about 203.7412456876.

The spelling of 8457400 in words is "eight million, four hundred fifty-seven thousand, four hundred".