8461400 has 24 divisors (see below), whose sum is σ = 19673220. Its totient is φ = 3384480.

The previous prime is 8461399. The next prime is 8461423. The reversal of 8461400 is 41648.

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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, 20954 + ... + 21353.

Almost surely, 2^8461400 is an apocalyptic number.

It is an amenable number.

8461400 is an abundant number, since it is smaller than the sum of its proper divisors (11211820).

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

8461400 is a wasteful number, since it uses less digits than its factorization.

8461400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42323 (or 42314 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 8461400 is about 2908.8485694515. The cubic root of 8461400 is about 203.7733610160.

The spelling of 8461400 in words is "eight million, four hundred sixty-one thousand, four hundred".