401617840 has 80 divisors (see below), whose sum is σ = 1017122400. Its totient is φ = 146589696.

The previous prime is 401617831. The next prime is 401617841. The reversal of 401617840 is 48716104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×401617840² = 322593778812531200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401617841) 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, 90391 + ... + 94729.

It is an arithmetic number, because the mean of its divisors is an integer number (12714030).

Almost surely, 2^401617840 is an apocalyptic number.

401617840 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 401617840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508561200).

401617840 is an abundant number, since it is smaller than the sum of its proper divisors (615504560).

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

401617840 is a wasteful number, since it uses less digits than its factorization.

401617840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 401617840 is about 20040.4051855246. The cubic root of 401617840 is about 737.7983257316.

The spelling of 401617840 in words is "four hundred one million, six hundred seventeen thousand, eight hundred forty".