402849600 has 336 divisors, whose sum is σ = 1428658560. Its totient is φ = 99123200.

The previous prime is 402849593. The next prime is 402849607. The reversal of 402849600 is 6948204.

It is an interprime number because it is at equal distance from previous prime (402849593) and next prime (402849607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402849607) 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, 4526356 + ... + 4526444.

It is an arithmetic number, because the mean of its divisors is an integer number (4251960).

Almost surely, 2^402849600 is an apocalyptic number.

402849600 is a gapful number since it is divisible by the number (40) 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 402849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714329280).

402849600 is an abundant number, since it is smaller than the sum of its proper divisors (1025808960).

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

402849600 is a wasteful number, since it uses less digits than its factorization.

402849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 402849600 is about 20071.1135714987. The cubic root of 402849600 is about 738.5518305727.

It can be divided in two parts, 4028 and 49600, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 402849600 in words is "four hundred two million, eight hundred forty-nine thousand, six hundred".