400630345500 has 768 divisors, whose sum is σ = 1535998464000. Its totient is φ = 80344320000.

The previous prime is 400630345499. The next prime is 400630345517. The reversal of 400630345500 is 5543036004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 164124280 + ... + 164126720.

It is an arithmetic number, because the mean of its divisors is an integer number (1999998000).

Almost surely, 2^400630345500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400630345500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767999232000).

400630345500 is an abundant number, since it is smaller than the sum of its proper divisors (1135368118500).

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

400630345500 is a wasteful number, since it uses less digits than its factorization.

400630345500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 400630345500 in words is "four hundred billion, six hundred thirty million, three hundred forty-five thousand, five hundred".