1275470400 has 168 divisors, whose sum is σ = 4200936480. Its totient is φ = 338800640.

The previous prime is 1275470351. The next prime is 1275470419. The reversal of 1275470400 is 40745721.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2241316 + ... + 2241884.

Almost surely, 2^1275470400 is an apocalyptic number.

1275470400 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 1275470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100468240).

1275470400 is an abundant number, since it is smaller than the sum of its proper divisors (2925466080).

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

1275470400 is a wasteful number, since it uses less digits than its factorization.

1275470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 1275470400 is about 35713.7284527953. The cubic root of 1275470400 is about 1084.4847801942.

The spelling of 1275470400 in words is "one billion, two hundred seventy-five million, four hundred seventy thousand, four hundred".