534996900 has 135 divisors (see below), whose sum is σ = 1741022899. Its totient is φ = 142110720.

The previous prime is 534996871. The next prime is 534996929. The reversal of 534996900 is 9699435.

It is a happy number.

The square root of 534996900 is 23130.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (534996871) and next prime (534996929).

It can be written as a sum of positive squares in 4 ways, for example, as 131469156 + 403527744 = 11466^2 + 20088^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×534996900² = 572443366019220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2081572 + ... + 2081828.

Almost surely, 2^534996900 is an apocalyptic number.

534996900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

534996900 is the 23130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534996900

534996900 is an abundant number, since it is smaller than the sum of its proper divisors (1206025999).

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

534996900 is a wasteful number, since it uses less digits than its factorization.

534996900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The cubic root of 534996900 is about 811.8025699563.

The spelling of 534996900 in words is "five hundred thirty-four million, nine hundred ninety-six thousand, nine hundred".