401654520 has 192 divisors, whose sum is σ = 1374796800. Its totient is φ = 101502720.

The previous prime is 401654501. The next prime is 401654521. The reversal of 401654520 is 25456104.

401654520 is a `hidden beast` number, since 4 + 0 + 1 + 654 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×401654520² = 322652706872860800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401654521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1481985 + ... + 1482255.

It is an arithmetic number, because the mean of its divisors is an integer number (7160400).

Almost surely, 2^401654520 is an apocalyptic number.

401654520 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 401654520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398400).

401654520 is an abundant number, since it is smaller than the sum of its proper divisors (973142280).

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

401654520 is a wasteful number, since it uses less digits than its factorization.

401654520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 401654520 is about 20041.3203157876. The cubic root of 401654520 is about 737.8207862368.

The spelling of 401654520 in words is "four hundred one million, six hundred fifty-four thousand, five hundred twenty".