505961400 has 192 divisors, whose sum is σ = 1805241600. Its totient is φ = 114831360.

The previous prime is 505961399. The next prime is 505961411. The reversal of 505961400 is 4169505.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 751464 + ... + 752136.

It is an arithmetic number, because the mean of its divisors is an integer number (9402300).

Almost surely, 2^505961400 is an apocalyptic number.

505961400 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 505961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902620800).

505961400 is an abundant number, since it is smaller than the sum of its proper divisors (1299280200).

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

505961400 is a wasteful number, since it uses less digits than its factorization.

505961400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 505961400 is about 22493.5857523873. The cubic root of 505961400 is about 796.8424495739.

The spelling of 505961400 in words is "five hundred five million, nine hundred sixty-one thousand, four hundred".