1201428480 has 384 divisors, whose sum is σ = 4541322240. Its totient is φ = 265420800.

The previous prime is 1201428479. The next prime is 1201428491. The reversal of 1201428480 is 848241021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1201428480² = 2886860785110220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7956405 + ... + 7956555.

It is an arithmetic number, because the mean of its divisors is an integer number (11826360).

Almost surely, 2^1201428480 is an apocalyptic number.

1201428480 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 1201428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270661120).

1201428480 is an abundant number, since it is smaller than the sum of its proper divisors (3339893760).

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

1201428480 is a wasteful number, since it uses less digits than its factorization.

1201428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 1201428480 is about 34661.6283518244. The cubic root of 1201428480 is about 1063.0800648976.

The spelling of 1201428480 in words is "one billion, two hundred one million, four hundred twenty-eight thousand, four hundred eighty".