524120400 has 90 divisors (see below), whose sum is σ = 1818855870. Its totient is φ = 139764480.

The previous prime is 524120371. The next prime is 524120437. The reversal of 524120400 is 4021425.

524120400 is a `hidden beast` number, since 5 + 241 + 20 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 992016 + 523128384 = 996^2 + 22872^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69195 + ... + 76394.

Almost surely, 2^524120400 is an apocalyptic number.

524120400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

524120400 is an abundant number, since it is smaller than the sum of its proper divisors (1294735470).

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

524120400 is a wasteful number, since it uses less digits than its factorization.

524120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145613 (or 145599 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 524120400 is about 22893.6759826813. The cubic root of 524120400 is about 806.2635404252.

Adding to 524120400 its reverse (4021425), we get a palindrome (528141825).

The spelling of 524120400 in words is "five hundred twenty-four million, one hundred twenty thousand, four hundred".