542054400 has 144 divisors (see below), whose sum is σ = 1792463400. Its totient is φ = 144506880.

The previous prime is 542054369. The next prime is 542054407. The reversal of 542054400 is 4450245.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542054407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151836 + ... + 155364.

Almost surely, 2^542054400 is an apocalyptic number.

542054400 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 542054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896231700).

542054400 is an abundant number, since it is smaller than the sum of its proper divisors (1250409000).

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

542054400 is a wasteful number, since it uses less digits than its factorization.

542054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 542054400 is about 23282.0617643713. The cubic root of 542054400 is about 815.3566632438.

The spelling of 542054400 in words is "five hundred forty-two million, fifty-four thousand, four hundred".