505958400 has 390 divisors, whose sum is σ = 1904915342. Its totient is φ = 132710400.

The previous prime is 505958371. The next prime is 505958413. The reversal of 505958400 is 4859505.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1327104 + 504631296 = 1152^2 + 22464^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8294370 + ... + 8294430.

Almost surely, 2^505958400 is an apocalyptic number.

505958400 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 505958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952457671).

505958400 is an abundant number, since it is smaller than the sum of its proper divisors (1398956942).

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

505958400 is an equidigital number, since it uses as much as digits as its factorization.

505958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 505958400 is about 22493.5190666112. The cubic root of 505958400 is about 796.8408746632.

The spelling of 505958400 in words is "five hundred five million, nine hundred fifty-eight thousand, four hundred".