1476216900 has 180 divisors, whose sum is σ = 4940517120. Its totient is φ = 380894400.

The previous prime is 1476216871. The next prime is 1476216901. The reversal of 1476216900 is 96126741.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1476216900² = 4358432671691220000, which contains 22 as substring.

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 (1476216901) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 248161 + ... + 254039.

Almost surely, 2^1476216900 is an apocalyptic number.

1476216900 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 1476216900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470258560).

1476216900 is an abundant number, since it is smaller than the sum of its proper divisors (3464300220).

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

1476216900 is a wasteful number, since it uses less digits than its factorization.

1476216900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1476216900 is about 38421.5681616459. The cubic root of 1476216900 is about 1138.6320156038.

The spelling of 1476216900 in words is "one billion, four hundred seventy-six million, two hundred sixteen thousand, nine hundred".