1333474000 has 40 divisors (see below), whose sum is σ = 3224344968. Its totient is φ = 533388800.

The previous prime is 1333473961. The next prime is 1333474039. The reversal of 1333474000 is 4743331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1333473961) and next prime (1333474039).

It can be written as a sum of positive squares in 4 ways, for example, as 48108096 + 1285365904 = 6936^2 + 35852^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 331369 + ... + 335368.

Almost surely, 2^1333474000 is an apocalyptic number.

1333474000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1333474000 is an abundant number, since it is smaller than the sum of its proper divisors (1890870968).

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

1333474000 is an equidigital number, since it uses as much as digits as its factorization.

1333474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666760 (or 666744 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 1333474000 is about 36516.7632738719. The cubic root of 1333474000 is about 1100.6811208621.

The spelling of 1333474000 in words is "one billion, three hundred thirty-three million, four hundred seventy-four thousand".