402499827648 has 336 divisors, whose sum is σ = 1231004782080. Its totient is φ = 128955317760.

The previous prime is 402499827641. The next prime is 402499827659. The reversal of 402499827648 is 846728994204.

402499827648 is a `hidden beast` number, since 4 + 0 + 2 + 499 + 82 + 7 + 64 + 8 = 666.

It is a super-2 number, since 2×402499827648² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402499827641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270678361 + ... + 270679847.

Almost surely, 2^402499827648 is an apocalyptic number.

402499827648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402499827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615502391040).

402499827648 is an abundant number, since it is smaller than the sum of its proper divisors (828504954432).

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

402499827648 is a wasteful number, since it uses less digits than its factorization.

402499827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 402499827648 in words is "four hundred two billion, four hundred ninety-nine million, eight hundred twenty-seven thousand, six hundred forty-eight".