235129440 has 288 divisors, whose sum is σ = 929063520. Its totient is φ = 49545216.

The previous prime is 235129429. The next prime is 235129463. The reversal of 235129440 is 44921532.

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 = 235129398 and 235129407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305376 + ... + 306144.

It is an arithmetic number, because the mean of its divisors is an integer number (3225915).

Almost surely, 2^235129440 is an apocalyptic number.

235129440 is a gapful number since it is divisible by the number (20) 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 235129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464531760).

235129440 is an abundant number, since it is smaller than the sum of its proper divisors (693934080).

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

235129440 is a wasteful number, since it uses less digits than its factorization.

235129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 235129440 is about 15333.9310028446. The cubic root of 235129440 is about 617.2138598986.

The spelling of 235129440 in words is "two hundred thirty-five million, one hundred twenty-nine thousand, four hundred forty".