542152400 has 120 divisors (see below), whose sum is σ = 1339211160. Its totient is φ = 210862080.

The previous prime is 542152399. The next prime is 542152411. The reversal of 542152400 is 4251245.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 296666176 + 245486224 = 17224^2 + 15668^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3453122 + ... + 3453278.

It is an arithmetic number, because the mean of its divisors is an integer number (11160093).

Almost surely, 2^542152400 is an apocalyptic number.

542152400 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 542152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669605580).

542152400 is an abundant number, since it is smaller than the sum of its proper divisors (797058760).

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

542152400 is a wasteful number, since it uses less digits than its factorization.

542152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 542152400 is about 23284.1662938573. The cubic root of 542152400 is about 815.4057973886.

The spelling of 542152400 in words is "five hundred forty-two million, one hundred fifty-two thousand, four hundred".