525431400 has 384 divisors, whose sum is σ = 1889879040. Its totient is φ = 119808000.

The previous prime is 525431399. The next prime is 525431411. The reversal of 525431400 is 4134525.

It is a super-3 number, since 3×525431400³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9913774 + ... + 9913826.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^525431400 is an apocalyptic number.

525431400 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 525431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944939520).

525431400 is an abundant number, since it is smaller than the sum of its proper divisors (1364447640).

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

525431400 is a wasteful number, since it uses less digits than its factorization.

525431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 525431400 is about 22922.2904614700. The cubic root of 525431400 is about 806.9352254117.

Adding to 525431400 its reverse (4134525), we get a palindrome (529565925).

The spelling of 525431400 in words is "five hundred twenty-five million, four hundred thirty-one thousand, four hundred".