1481301600 has 144 divisors (see below), whose sum is σ = 4842815040. Its totient is φ = 393280000.

The previous prime is 1481301599. The next prime is 1481301629. The reversal of 1481301600 is 61031841.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 601171 + ... + 603629.

It is an arithmetic number, because the mean of its divisors is an integer number (33630660).

Almost surely, 2^1481301600 is an apocalyptic number.

1481301600 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 1481301600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421407520).

1481301600 is an abundant number, since it is smaller than the sum of its proper divisors (3361513440).

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

1481301600 is a wasteful number, since it uses less digits than its factorization.

1481301600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1481301600 is about 38487.6811460498. The cubic root of 1481301600 is about 1139.9378236326.

The spelling of 1481301600 in words is "one billion, four hundred eighty-one million, three hundred one thousand, six hundred".