402278400 has 360 divisors, whose sum is σ = 1505313810. Its totient is φ = 106168320.

The previous prime is 402278381. The next prime is 402278411. The reversal of 402278400 is 4872204.

It can be written as a sum of positive squares in 3 ways, for example, as 288728064 + 113550336 = 16992^2 + 10656^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×402278400² = 323655822213120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4147152 + ... + 4147248.

Almost surely, 2^402278400 is an apocalyptic number.

402278400 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 402278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752656905).

402278400 is an abundant number, since it is smaller than the sum of its proper divisors (1103035410).

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

402278400 is an equidigital number, since it uses as much as digits as its factorization.

402278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 402278400 is about 20056.8791191451. The cubic root of 402278400 is about 738.2026015237.

The spelling of 402278400 in words is "four hundred two million, two hundred seventy-eight thousand, four hundred".