1435990680 has 480 divisors, whose sum is σ = 5463469440. Its totient is φ = 336752640.

The previous prime is 1435990679. The next prime is 1435990727. The reversal of 1435990680 is 860995341.

It is a happy number.

It is a super-3 number, since 3×1435990680³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46322265 + ... + 46322295.

It is an arithmetic number, because the mean of its divisors is an integer number (11382228).

Almost surely, 2^1435990680 is an apocalyptic number.

1435990680 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 1435990680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731734720).

1435990680 is an abundant number, since it is smaller than the sum of its proper divisors (4027478760).

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

1435990680 is a wasteful number, since it uses less digits than its factorization.

1435990680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1435990680 is about 37894.4676700966. The cubic root of 1435990680 is about 1128.1942286637.

The spelling of 1435990680 in words is "one billion, four hundred thirty-five million, nine hundred ninety thousand, six hundred eighty".