405514153000 has 128 divisors (see below), whose sum is σ = 1052138730240. Its totient is φ = 145042080000.

The previous prime is 405514152991. The next prime is 405514153007. The reversal of 405514153000 is 351415504.

It is a self number, because there is not a number n which added to its sum of digits gives 405514153000.

It is not an unprimeable number, because it can be changed into a prime (405514153007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368829 + ... + 973171.

It is an arithmetic number, because the mean of its divisors is an integer number (8219833830).

Almost surely, 2^405514153000 is an apocalyptic number.

405514153000 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 405514153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526069365120).

405514153000 is an abundant number, since it is smaller than the sum of its proper divisors (646624577240).

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

405514153000 is a wasteful number, since it uses less digits than its factorization.

405514153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604436 (or 604422 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 405514153000 its reverse (351415504), we get a palindrome (405865568504).

The spelling of 405514153000 in words is "four hundred five billion, five hundred fourteen million, one hundred fifty-three thousand".