403275801600 has 1485 divisors, whose sum is σ = 1749169423937. Its totient is φ = 92177326080.

The previous prime is 403275801589. The next prime is 403275801631. The reversal of 403275801600 is 6108572304.

The square root of 403275801600 is 635040.

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

403275801600 is a `hidden beast` number, since 40 + 3 + 2 + 7 + 5 + 8 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 145179288576 + 258096513024 = 381024^2 + 508032^2 .

It is a super-2 number, since 2×403275801600² (a number of 24 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 57610828797 + ... + 57610828803.

Almost surely, 2^403275801600 is an apocalyptic number.

403275801600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

403275801600 is the 635040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403275801600

403275801600 is an abundant number, since it is smaller than the sum of its proper divisors (1345893622337).

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

403275801600 is an frugal number, since it uses more digits than its factorization.

403275801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 403275801600 by its sum of digits (36), we get a square (14517928857600 = 3810240²).

403275801600 divided by its sum of digits (36) gives a square (11202105600 = 105840²).

The spelling of 403275801600 in words is "four hundred three billion, two hundred seventy-five million, eight hundred one thousand, six hundred".