5462354800 has 120 divisors (see below), whose sum is σ = 15244412192. Its totient is φ = 1842048000.

The previous prime is 5462354789. The next prime is 5462354803. The reversal of 5462354800 is 84532645.

It is a super-2 number, since 2×5462354800² = 59674639922166080000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5462354800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5462354803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154810 + ... + 186790.

Almost surely, 2^5462354800 is an apocalyptic number.

5462354800 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 5462354800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7622206096).

5462354800 is an abundant number, since it is smaller than the sum of its proper divisors (9782057392).

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

5462354800 is a wasteful number, since it uses less digits than its factorization.

5462354800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32067 (or 32056 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The square root of 5462354800 is about 73907.7451962918. The cubic root of 5462354800 is about 1761.1376511801.

The spelling of 5462354800 in words is "five billion, four hundred sixty-two million, three hundred fifty-four thousand, eight hundred".