1422401904 has 320 divisors, whose sum is σ = 5181096960. Its totient is φ = 362880000.

The previous prime is 1422401899. The next prime is 1422401933. The reversal of 1422401904 is 4091042241.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2028754 + ... + 2029454.

It is an arithmetic number, because the mean of its divisors is an integer number (16190928).

Almost surely, 2^1422401904 is an apocalyptic number.

1422401904 is a gapful number since it is divisible by the number (14) 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 1422401904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590548480).

1422401904 is an abundant number, since it is smaller than the sum of its proper divisors (3758695056).

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

1422401904 is a wasteful number, since it uses less digits than its factorization.

1422401904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1422401904 is about 37714.7438543602. The cubic root of 1422401904 is about 1124.6242442874.

The spelling of 1422401904 in words is "one billion, four hundred twenty-two million, four hundred one thousand, nine hundred four".