525349440 has 672 divisors, whose sum is σ = 2373636096. Its totient is φ = 103403520.

The previous prime is 525349439. The next prime is 525349469. The reversal of 525349440 is 44943525.

It is a happy number.

525349440 is a `hidden beast` number, since 525 + 3 + 4 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 525349395 and 525349404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5100429 + ... + 5100531.

Almost surely, 2^525349440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186818048).

525349440 is an abundant number, since it is smaller than the sum of its proper divisors (1848286656).

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

525349440 is a wasteful number, since it uses less digits than its factorization.

525349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 525349440 is about 22920.5026122902. The cubic root of 525349440 is about 806.8932663344.

The spelling of 525349440 in words is "five hundred twenty-five million, three hundred forty-nine thousand, four hundred forty".