515967452 has 144 divisors (see below), whose sum is σ = 1266904800. Its totient is φ = 180633600.

The previous prime is 515967427. The next prime is 515967461. The reversal of 515967452 is 254769515.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 1148924 + ... + 1149372.

It is an arithmetic number, because the mean of its divisors is an integer number (8797950).

Almost surely, 2^515967452 is an apocalyptic number.

515967452 is a gapful number since it is divisible by the number (52) 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 515967452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633452400).

515967452 is an abundant number, since it is smaller than the sum of its proper divisors (750937348).

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

515967452 is a wasteful number, since it uses less digits than its factorization.

515967452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 523 counting only the distinct ones).

The product of its digits is 378000, while the sum is 44.

The square root of 515967452 is about 22714.9169490007. The cubic root of 515967452 is about 802.0610666950.

The spelling of 515967452 in words is "five hundred fifteen million, nine hundred sixty-seven thousand, four hundred fifty-two".