1225730400 has 144 divisors (see below), whose sum is σ = 4016399184. Its totient is φ = 324679680.

The previous prime is 1225730399. The next prime is 1225730411. The reversal of 1225730400 is 40375221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 375174 + ... + 378426.

It is an arithmetic number, because the mean of its divisors is an integer number (27891661).

Almost surely, 2^1225730400 is an apocalyptic number.

1225730400 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 1225730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008199592).

1225730400 is an abundant number, since it is smaller than the sum of its proper divisors (2790668784).

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

1225730400 is a wasteful number, since it uses less digits than its factorization.

1225730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 1225730400 is about 35010.4327308304. The cubic root of 1225730400 is about 1070.2000965057.

The spelling of 1225730400 in words is "one billion, two hundred twenty-five million, seven hundred thirty thousand, four hundred".