8242400 has 36 divisors (see below), whose sum is σ = 20123712. Its totient is φ = 3296640.

The previous prime is 8242363. The next prime is 8242411. The reversal of 8242400 is 42428.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4352 + ... + 5951.

It is an arithmetic number, because the mean of its divisors is an integer number (558992).

Almost surely, 2^8242400 is an apocalyptic number.

8242400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8242400 is an abundant number, since it is smaller than the sum of its proper divisors (11881312).

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

8242400 is a wasteful number, since it uses less digits than its factorization.

8242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10323 (or 10310 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 8242400 is about 2870.9580282547. The cubic root of 8242400 is about 201.9999346469. Note that the first 4 decimals are identical.

Adding to 8242400 its reverse (42428), we get a palindrome (8284828).

The spelling of 8242400 in words is "eight million, two hundred forty-two thousand, four hundred".