5462400 has 96 divisors (see below), whose sum is σ = 18023400. Its totient is φ = 1454080.

The previous prime is 5462377. The next prime is 5462437. The reversal of 5462400 is 42645.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9316 + ... + 9884.

Almost surely, 2^5462400 is an apocalyptic number.

5462400 is a gapful number since it is divisible by the number (50) 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 5462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9011700).

5462400 is an abundant number, since it is smaller than the sum of its proper divisors (12561000).

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

5462400 is a wasteful number, since it uses less digits than its factorization.

5462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5462400 is about 2337.1777852786. The cubic root of 5462400 is about 176.1142508865.

The spelling of 5462400 in words is "five million, four hundred sixty-two thousand, four hundred".