542151400 has 192 divisors, whose sum is σ = 1526688000. Its totient is φ = 175042560.

The previous prime is 542151371. The next prime is 542151409. The reversal of 542151400 is 4151245.

It is not an unprimeable number, because it can be changed into a prime (542151409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3638526 + ... + 3638674.

It is an arithmetic number, because the mean of its divisors is an integer number (7951500).

Almost surely, 2^542151400 is an apocalyptic number.

542151400 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 542151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763344000).

542151400 is an abundant number, since it is smaller than the sum of its proper divisors (984536600).

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

542151400 is a wasteful number, since it uses less digits than its factorization.

542151400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 542151400 is about 23284.1448200272. The cubic root of 542151400 is about 815.4052960497.

The spelling of 542151400 in words is "five hundred forty-two million, one hundred fifty-one thousand, four hundred".