1225419624 has 256 divisors, whose sum is σ = 4050144000. Its totient is φ = 338411520.

The previous prime is 1225419623. The next prime is 1225419659. The reversal of 1225419624 is 4269145221.

It is a happy number.

1225419624 is a `hidden beast` number, since 1 + 2 + 2 + 541 + 96 + 24 = 666.

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 (1225419623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2995932 + ... + 2996340.

It is an arithmetic number, because the mean of its divisors is an integer number (15820875).

Almost surely, 2^1225419624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225419624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025072000).

1225419624 is an abundant number, since it is smaller than the sum of its proper divisors (2824724376).

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

1225419624 is a wasteful number, since it uses less digits than its factorization.

1225419624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 535 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1225419624 is about 35005.9941152940. The cubic root of 1225419624 is about 1070.1096414273.

It can be divided in two parts, 12254 and 19624, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 1225419624 in words is "one billion, two hundred twenty-five million, four hundred nineteen thousand, six hundred twenty-four".