506203790400 has 1575 divisors, whose sum is σ = 2308780284005. Its totient is φ = 105185203200.

The previous prime is 506203790387. The next prime is 506203790429. The reversal of 506203790400 is 4097302605.

The square root of 506203790400 is 711480.

It is a perfect power (a square), and thus also a powerful number.

506203790400 is a `hidden beast` number, since 506 + 20 + 3 + 7 + 90 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 182233364544 + 323970425856 = 426888^2 + 569184^2 .

It is a tau number, because it is divible by the number of its divisors (1575).

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

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 46018526395 + ... + 46018526405.

Almost surely, 2^506203790400 is an apocalyptic number.

506203790400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

506203790400 is the 711480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506203790400

506203790400 is an abundant number, since it is smaller than the sum of its proper divisors (1802576493605).

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

506203790400 is an frugal number, since it uses more digits than its factorization.

506203790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 506203790400 by its sum of digits (36), we get a square (18223336454400 = 4268880²).

506203790400 divided by its sum of digits (36) gives a square (14061216400 = 118580²).

The spelling of 506203790400 in words is "five hundred six billion, two hundred three million, seven hundred ninety thousand, four hundred".