542450400 has 288 divisors, whose sum is σ = 1907877888. Its totient is φ = 133478400.

The previous prime is 542450393. The next prime is 542450411. The reversal of 542450400 is 4054245.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1711042 + ... + 1711358.

It is an arithmetic number, because the mean of its divisors is an integer number (6624576).

Almost surely, 2^542450400 is an apocalyptic number.

542450400 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 542450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953938944).

542450400 is an abundant number, since it is smaller than the sum of its proper divisors (1365427488).

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

542450400 is a wasteful number, since it uses less digits than its factorization.

542450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 381 counting only the distinct ones).

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

The square root of 542450400 is about 23290.5646131647. The cubic root of 542450400 is about 815.5551689308. Note that the first 3 decimals are identical.

The spelling of 542450400 in words is "five hundred forty-two million, four hundred fifty thousand, four hundred".