5462306400 has 72 divisors (see below), whose sum is σ = 17779815144. Its totient is φ = 1456614400.

The previous prime is 5462306351. The next prime is 5462306407. The reversal of 5462306400 is 46032645.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5462306407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1135581 + ... + 1140380.

It is an arithmetic number, because the mean of its divisors is an integer number (246941877).

Almost surely, 2^5462306400 is an apocalyptic number.

5462306400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5462306400 is an abundant number, since it is smaller than the sum of its proper divisors (12317508744).

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

5462306400 is a wasteful number, since it uses less digits than its factorization.

5462306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275984 (or 2275971 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 5462306400 is about 73907.4177603304. The cubic root of 5462306400 is about 1761.1324495581.

The spelling of 5462306400 in words is "five billion, four hundred sixty-two million, three hundred six thousand, four hundred".