542871504 has 160 divisors (see below), whose sum is σ = 1838612480. Its totient is φ = 150076800.

The previous prime is 542871499. The next prime is 542871509. The reversal of 542871504 is 405178245.

It is an interprime number because it is at equal distance from previous prime (542871499) and next prime (542871509).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542871509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90849 + ... + 96639.

It is an arithmetic number, because the mean of its divisors is an integer number (11491328).

Almost surely, 2^542871504 is an apocalyptic number.

542871504 is a gapful number since it is divisible by the number (54) 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 542871504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919306240).

542871504 is an abundant number, since it is smaller than the sum of its proper divisors (1295740976).

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

542871504 is a wasteful number, since it uses less digits than its factorization.

542871504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5846 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 542871504 is about 23299.6030867481. The cubic root of 542871504 is about 815.7661527142.

The spelling of 542871504 in words is "five hundred forty-two million, eight hundred seventy-one thousand, five hundred four".