1426604400 has 360 divisors, whose sum is σ = 5533899280. Its totient is φ = 350853120.

The previous prime is 1426604383. The next prime is 1426604423. The reversal of 1426604400 is 44066241.

1426604400 is a `hidden beast` number, since 14 + 2 + 6 + 604 + 40 + 0 = 666.

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

It is a super-2 number, since 2×1426604400² = 4070400228198720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1263036 + ... + 1264164.

Almost surely, 2^1426604400 is an apocalyptic number.

1426604400 is a gapful number since it is divisible by the number (10) 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 1426604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766949640).

1426604400 is an abundant number, since it is smaller than the sum of its proper divisors (4107294880).

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

1426604400 is a wasteful number, since it uses less digits than its factorization.

1426604400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1426604400 is about 37770.4169953153. The cubic root of 1426604400 is about 1125.7307252666.

The spelling of 1426604400 in words is "one billion, four hundred twenty-six million, six hundred four thousand, four hundred".