401554120 has 64 divisors (see below), whose sum is σ = 987992640. Its totient is φ = 145670400.

The previous prime is 401554117. The next prime is 401554121. The reversal of 401554120 is 21455104.

It is a super-2 number, since 2×401554120² = 322491422577948800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 401554091 and 401554100.

It is not an unprimeable number, because it can be changed into a prime (401554121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246910 + ... + 248530.

It is an arithmetic number, because the mean of its divisors is an integer number (15437385).

Almost surely, 2^401554120 is an apocalyptic number.

401554120 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 401554120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493996320).

401554120 is an abundant number, since it is smaller than the sum of its proper divisors (586438520).

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

401554120 is a wasteful number, since it uses less digits than its factorization.

401554120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 401554120 is about 20038.8153342457. The cubic root of 401554120 is about 737.7593043941.

The spelling of 401554120 in words is "four hundred one million, five hundred fifty-four thousand, one hundred twenty".