402472241649 has 9 divisors (see below), whose sum is σ = 581351542603. Its totient is φ = 268313558952.

The previous prime is 402472241627. The next prime is 402472241657. The reversal of 402472241649 is 946142274204.

The square root of 402472241649 is 634407.

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

402472241649 is a `hidden beast` number, since 402 + 4 + 7 + 224 + 16 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 225618350049 + 176853891600 = 474993^2 + 420540^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-402472241649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (402472291649) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1797487 + ... + 2008955.

Almost surely, 2^402472241649 is an apocalyptic number.

402472241649 is the 634407-th square number.

402472241649 is the 317204-th centered octagonal number.

It is an amenable number.

402472241649 is a deficient number, since it is larger than the sum of its proper divisors (178879300954).

402472241649 is an frugal number, since it uses more digits than its factorization.

402472241649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422944 (or 211472 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 402472241649 in words is "four hundred two billion, four hundred seventy-two million, two hundred forty-one thousand, six hundred forty-nine".