8404201520 has 320 divisors, whose sum is σ = 23812475904. Its totient is φ = 2718044160.

The previous prime is 8404201517. The next prime is 8404201579. The reversal of 8404201520 is 251024048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 8404201520.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50324477 + ... + 50324643.

Almost surely, 2^8404201520 is an apocalyptic number.

8404201520 is a gapful number since it is divisible by the number (80) 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 8404201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11906237952).

8404201520 is an abundant number, since it is smaller than the sum of its proper divisors (15408274384).

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

8404201520 is a wasteful number, since it uses less digits than its factorization.

8404201520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 8404201520 is about 91674.4322044047. The cubic root of 8404201520 is about 2033.1315785366.

Adding to 8404201520 its reverse (251024048), we get a palindrome (8655225568).

The spelling of 8404201520 in words is "eight billion, four hundred four million, two hundred one thousand, five hundred twenty".