1201407480 has 576 divisors, whose sum is σ = 5079110400. Its totient is φ = 245306880.

The previous prime is 1201407479. The next prime is 1201407497. The reversal of 1201407480 is 847041021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38755065 + ... + 38755095.

It is an arithmetic number, because the mean of its divisors is an integer number (8817900).

Almost surely, 2^1201407480 is an apocalyptic number.

1201407480 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 1201407480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539555200).

1201407480 is an abundant number, since it is smaller than the sum of its proper divisors (3877702920).

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

1201407480 is a wasteful number, since it uses less digits than its factorization.

1201407480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1201407480 is about 34661.3254218589. The cubic root of 1201407480 is about 1063.0738709344.

The spelling of 1201407480 in words is "one billion, two hundred one million, four hundred seven thousand, four hundred eighty".