435152640 has 288 divisors, whose sum is σ = 1565867520. Its totient is φ = 102187008.

The previous prime is 435152633. The next prime is 435152651. The reversal of 435152640 is 46251534.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 435152598 and 435152607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147971 + ... + 1148349.

It is an arithmetic number, because the mean of its divisors is an integer number (5437040).

Almost surely, 2^435152640 is an apocalyptic number.

435152640 is a gapful number since it is divisible by the number (40) 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 435152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782933760).

435152640 is an abundant number, since it is smaller than the sum of its proper divisors (1130714880).

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

435152640 is a wasteful number, since it uses less digits than its factorization.

435152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 435152640 is about 20860.3125575817. The cubic root of 435152640 is about 757.7870993987.

The spelling of 435152640 in words is "four hundred thirty-five million, one hundred fifty-two thousand, six hundred forty".