1275401904 has 240 divisors, whose sum is σ = 4150329600. Its totient is φ = 329301504.

The previous prime is 1275401861. The next prime is 1275401947. The reversal of 1275401904 is 4091045721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1275401861) and next prime (1275401947).

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, 15366247 + ... + 15366329.

It is an arithmetic number, because the mean of its divisors is an integer number (17293040).

Almost surely, 2^1275401904 is an apocalyptic number.

1275401904 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 1275401904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075164800).

1275401904 is an abundant number, since it is smaller than the sum of its proper divisors (2874927696).

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

1275401904 is a wasteful number, since it uses less digits than its factorization.

1275401904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1275401904 is about 35712.7694809574. The cubic root of 1275401904 is about 1084.4653666509.

The spelling of 1275401904 in words is "one billion, two hundred seventy-five million, four hundred one thousand, nine hundred four".