1474258968 has 320 divisors, whose sum is σ = 5308047360. Its totient is φ = 371568384.

The previous prime is 1474258967. The next prime is 1474258979. The reversal of 1474258968 is 8698524741.

It is a happy number.

1474258968 is a `hidden beast` number, since 14 + 7 + 42 + 589 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1474258967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1355721 + ... + 1356807.

It is an arithmetic number, because the mean of its divisors is an integer number (16587648).

Almost surely, 2^1474258968 is an apocalyptic number.

1474258968 is a gapful number since it is divisible by the number (18) 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 1474258968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654023680).

1474258968 is an abundant number, since it is smaller than the sum of its proper divisors (3833788392).

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

1474258968 is a wasteful number, since it uses less digits than its factorization.

1474258968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1135 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 1474258968 is about 38396.0801124281. The cubic root of 1474258968 is about 1138.1283971086.

It can be divided in two parts, 14742 and 58968, that multiplied together give a square (869306256 = 29484²).

The spelling of 1474258968 in words is "one billion, four hundred seventy-four million, two hundred fifty-eight thousand, nine hundred sixty-eight".