402780622500 has 135 divisors (see below), whose sum is σ = 1272568400103. Its totient is φ = 107382780000.

The previous prime is 402780622493. The next prime is 402780622501. The reversal of 402780622500 is 5226087204.

The square root of 402780622500 is 634650.

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

402780622500 is a `hidden beast` number, since 4 + 0 + 27 + 8 + 0 + 622 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31578000804 + 371202621696 = 177702^2 + 609264^2 .

It is a super-2 number, since 2×402780622500² (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 not an unprimeable number, because it can be changed into a prime (402780622501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 95195385 + ... + 95199615.

Almost surely, 2^402780622500 is an apocalyptic number.

402780622500 is the 634650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402780622500

402780622500 is an abundant number, since it is smaller than the sum of its proper divisors (869787777603).

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

402780622500 is an frugal number, since it uses more digits than its factorization.

402780622500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8492 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 402780622500 by its sum of digits (36), we get a square (14500102410000 = 3807900²).

402780622500 divided by its sum of digits (36) gives a square (11188350625 = 105775²).

The spelling of 402780622500 in words is "four hundred two billion, seven hundred eighty million, six hundred twenty-two thousand, five hundred".