6476400 has 180 divisors, whose sum is σ = 25785552. Its totient is φ = 1474560.

The previous prime is 6476387. The next prime is 6476417. The reversal of 6476400 is 46746.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25072 + ... + 25328.

Almost surely, 2^6476400 is an apocalyptic number.

6476400 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 6476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12892776).

6476400 is an abundant number, since it is smaller than the sum of its proper divisors (19309152).

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

6476400 is a wasteful number, since it uses less digits than its factorization.

6476400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6476400 is about 2544.8772072538. The cubic root of 6476400 is about 186.3994191562.

The spelling of 6476400 in words is "six million, four hundred seventy-six thousand, four hundred".