1478963200 has 312 divisors, whose sum is σ = 4351190256. Its totient is φ = 491520000.

The previous prime is 1478963179. The next prime is 1478963201. The reversal of 1478963200 is 23698741.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1478963201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14643150 + ... + 14643250.

Almost surely, 2^1478963200 is an apocalyptic number.

1478963200 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 1478963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175595128).

1478963200 is an abundant number, since it is smaller than the sum of its proper divisors (2872227056).

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

1478963200 is a wasteful number, since it uses less digits than its factorization.

1478963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 1478963200 is about 38457.2905961926. The cubic root of 1478963200 is about 1139.3376679985.

The spelling of 1478963200 in words is "one billion, four hundred seventy-eight million, nine hundred sixty-three thousand, two hundred".