1350762480 has 200 divisors, whose sum is σ = 4726260000. Its totient is φ = 357530112.

The previous prime is 1350762463. The next prime is 1350762499. The reversal of 1350762480 is 842670531.

1350762480 is a `hidden beast` number, since 13 + 507 + 62 + 4 + 80 = 666.

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 39 ways as a sum of consecutive naturals, for example, 964821 + ... + 966219.

It is an arithmetic number, because the mean of its divisors is an integer number (23631300).

Almost surely, 2^1350762480 is an apocalyptic number.

1350762480 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 1350762480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363130000).

1350762480 is an abundant number, since it is smaller than the sum of its proper divisors (3375497520).

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

1350762480 is a wasteful number, since it uses less digits than its factorization.

1350762480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1350762480 is about 36752.7207156151. The cubic root of 1350762480 is about 1105.4174845300.

The spelling of 1350762480 in words is "one billion, three hundred fifty million, seven hundred sixty-two thousand, four hundred eighty".