6461400 has 144 divisors (see below), whose sum is σ = 22264200. Its totient is φ = 1548800.

The previous prime is 6461393. The next prime is 6461401. The reversal of 6461400 is 41646.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72556 + ... + 72644.

Almost surely, 2^6461400 is an apocalyptic number.

6461400 is a gapful number since it is divisible by the number (60) 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 6461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11132100).

6461400 is an abundant number, since it is smaller than the sum of its proper divisors (15802800).

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

6461400 is a wasteful number, since it uses less digits than its factorization.

6461400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6461400 is about 2541.9284018241. The cubic root of 6461400 is about 186.2554012517.

The spelling of 6461400 in words is "six million, four hundred sixty-one thousand, four hundred".