1422921600 has 384 divisors, whose sum is σ = 5342515200. Its totient is φ = 369653760.

The previous prime is 1422921551. The next prime is 1422921613. The reversal of 1422921600 is 61292241.

1422921600 is a `hidden beast` number, since 14 + 2 + 29 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 3715009 + ... + 3715391.

It is an arithmetic number, because the mean of its divisors is an integer number (13912800).

Almost surely, 2^1422921600 is an apocalyptic number.

1422921600 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 1422921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671257600).

1422921600 is an abundant number, since it is smaller than the sum of its proper divisors (3919593600).

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

1422921600 is a wasteful number, since it uses less digits than its factorization.

1422921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1422921600 is about 37721.6330505454. The cubic root of 1422921600 is about 1124.7611937561.

The spelling of 1422921600 in words is "one billion, four hundred twenty-two million, nine hundred twenty-one thousand, six hundred".