1435378560 has 768 divisors, whose sum is σ = 6195398400. Its totient is φ = 278691840.

The previous prime is 1435378531. The next prime is 1435378583. The reversal of 1435378560 is 658735341.

It is a super-2 number, since 2×1435378560² = 4120623221015347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19662684 + ... + 19662756.

It is an arithmetic number, because the mean of its divisors is an integer number (8066925).

Almost surely, 2^1435378560 is an apocalyptic number.

1435378560 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 1435378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097699200).

1435378560 is an abundant number, since it is smaller than the sum of its proper divisors (4760019840).

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

1435378560 is a wasteful number, since it uses less digits than its factorization.

1435378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 1435378560 is about 37886.3901685025. The cubic root of 1435378560 is about 1128.0339006964.

The spelling of 1435378560 in words is "one billion, four hundred thirty-five million, three hundred seventy-eight thousand, five hundred sixty".