402481728 has 168 divisors, whose sum is σ = 1270345440. Its totient is φ = 120821760.

The previous prime is 402481699. The next prime is 402481753. The reversal of 402481728 is 827184204.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 402481692 and 402481701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 880476 + ... + 880932.

It is an arithmetic number, because the mean of its divisors is an integer number (7561580).

Almost surely, 2^402481728 is an apocalyptic number.

402481728 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 402481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635172720).

402481728 is an abundant number, since it is smaller than the sum of its proper divisors (867863712).

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

402481728 is a wasteful number, since it uses less digits than its factorization.

402481728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 402481728 is about 20061.9472634139. The cubic root of 402481728 is about 738.3269531976.

The spelling of 402481728 in words is "four hundred two million, four hundred eighty-one thousand, seven hundred twenty-eight".