542894400 has 420 divisors, whose sum is σ = 2057948640. Its totient is φ = 140313600.

The previous prime is 542894383. The next prime is 542894411. The reversal of 542894400 is 4498245.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7646365 + ... + 7646435.

Almost surely, 2^542894400 is an apocalyptic number.

542894400 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 542894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028974320).

542894400 is an abundant number, since it is smaller than the sum of its proper divisors (1515054240).

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

542894400 is a wasteful number, since it uses less digits than its factorization.

542894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 542894400 is about 23300.0944204095. The cubic root of 542894400 is about 815.7776210630. Note that the first 3 decimals are identical.

The spelling of 542894400 in words is "five hundred forty-two million, eight hundred ninety-four thousand, four hundred".