1350959400 has 648 divisors, whose sum is σ = 5712198570. Its totient is φ = 285143040.

The previous prime is 1350959381. The next prime is 1350959473. The reversal of 1350959400 is 49590531.

1350959400 is a `hidden beast` number, since 13 + 50 + 9 + 594 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 508682916 + 842276484 = 22554^2 + 29022^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 25489774 + ... + 25489826.

Almost surely, 2^1350959400 is an apocalyptic number.

1350959400 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 1350959400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856099285).

1350959400 is an abundant number, since it is smaller than the sum of its proper divisors (4361239170).

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

1350959400 is a wasteful number, since it uses less digits than its factorization.

1350959400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 1350959400 is about 36755.3996033236. The cubic root of 1350959400 is about 1105.4711994348.

The spelling of 1350959400 in words is "one billion, three hundred fifty million, nine hundred fifty-nine thousand, four hundred".