1302973920 has 144 divisors (see below), whose sum is σ = 4639838112. Its totient is φ = 332344320.

The previous prime is 1302973909. The next prime is 1302973951. The reversal of 1302973920 is 293792031.

1302973920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13450 + ... + 52790.

It is an arithmetic number, because the mean of its divisors is an integer number (32221098).

Almost surely, 2^1302973920 is an apocalyptic number.

1302973920 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 1302973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319919056).

1302973920 is an abundant number, since it is smaller than the sum of its proper divisors (3336864192).

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

1302973920 is a wasteful number, since it uses less digits than its factorization.

1302973920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39385 (or 39374 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 1302973920 is about 36096.7300458089. The cubic root of 1302973920 is about 1092.2244838981.

The spelling of 1302973920 in words is "one billion, three hundred two million, nine hundred seventy-three thousand, nine hundred twenty".