1269428400 has 90 divisors (see below), whose sum is σ = 4405281660. Its totient is φ = 338513280.

The previous prime is 1269428389. The next prime is 1269428401. The reversal of 1269428400 is 48249621.

1269428400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×1269428400² = 3222896925453120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (1269428401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 172710 + ... + 179909.

It is an arithmetic number, because the mean of its divisors is an integer number (48947574).

Almost surely, 2^1269428400 is an apocalyptic number.

1269428400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1269428400 is an abundant number, since it is smaller than the sum of its proper divisors (3135853260).

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

1269428400 is a wasteful number, since it uses less digits than its factorization.

1269428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352643 (or 352629 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1269428400 is about 35629.0387184386. The cubic root of 1269428400 is about 1082.7696402081.

The spelling of 1269428400 in words is "one billion, two hundred sixty-nine million, four hundred twenty-eight thousand, four hundred".