481209978249 has 375 divisors, whose sum is σ = 998873055015. Its totient is φ = 230750039520.

The previous prime is 481209978247. The next prime is 481209978251. The reversal of 481209978249 is 942879902184.

The square root of 481209978249 is 693693.

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

481209978249 is a `hidden beast` number, since 481 + 20 + 9 + 97 + 8 + 2 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (481209978247) and next prime (481209978251).

It can be written as a sum of positive squares in only one way, i.e., 71184908025 + 410025070224 = 266805^2 + 640332^2 .

It is not a de Polignac number, because 481209978249 - 2¹ = 481209978247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (481209978247) by changing a digit.

It is a polite number, since it can be written in 374 ways as a sum of consecutive naturals, for example, 37016152167 + ... + 37016152179.

Almost surely, 2^481209978249 is an apocalyptic number.

481209978249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

481209978249 is the 693693-rd square number.

481209978249 is the 346847-th centered octagonal number.

It is an amenable number.

481209978249 is an abundant number, since it is smaller than the sum of its proper divisors (517663076766).

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

481209978249 is an frugal number, since it uses more digits than its factorization.

481209978249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 481209978249 in words is "four hundred eighty-one billion, two hundred nine million, nine hundred seventy-eight thousand, two hundred forty-nine".