406269556875 has 480 divisors, whose sum is σ = 952759019520. Its totient is φ = 167401728000.

The previous prime is 406269556873. The next prime is 406269556877. The reversal of 406269556875 is 578655962604.

It is a happy number.

406269556875 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 6 + 9 + 556 + 8 + 75 = 666.

It is an interprime number because it is at equal distance from previous prime (406269556873) and next prime (406269556877).

It is not a de Polignac number, because 406269556875 - 2¹ = 406269556873 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 (406269556873) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 938266659 + ... + 938267091.

It is an arithmetic number, because the mean of its divisors is an integer number (1984914624).

Almost surely, 2^406269556875 is an apocalyptic number.

406269556875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

406269556875 is an abundant number, since it is smaller than the sum of its proper divisors (546489462645).

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

406269556875 is a wasteful number, since it uses less digits than its factorization.

406269556875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 406269556875 in words is "four hundred six billion, two hundred sixty-nine million, five hundred fifty-six thousand, eight hundred seventy-five".