1471346800 has 480 divisors, whose sum is σ = 4817977344. Its totient is φ = 418176000.

The previous prime is 1471346791. The next prime is 1471346801. The reversal of 1471346800 is 86431741.

It is a happy number.

It is a super-2 number, since 2×1471346800² = 4329722811740480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1471346801) 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 95 ways as a sum of consecutive naturals, for example, 21960367 + ... + 21960433.

Almost surely, 2^1471346800 is an apocalyptic number.

1471346800 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 1471346800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408988672).

1471346800 is an abundant number, since it is smaller than the sum of its proper divisors (3346630544).

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

1471346800 is a wasteful number, since it uses less digits than its factorization.

1471346800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 1471346800 is about 38358.1386409716. The cubic root of 1471346800 is about 1137.3785049161.

The spelling of 1471346800 in words is "one billion, four hundred seventy-one million, three hundred forty-six thousand, eight hundred".