401729240 has 64 divisors (see below), whose sum is σ = 989552160. Its totient is φ = 145566720.

The previous prime is 401729231. The next prime is 401729249. The reversal of 401729240 is 42927104.

It is an interprime number because it is at equal distance from previous prime (401729231) and next prime (401729249).

It is a super-2 number, since 2×401729240² = 322772764541955200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401729249) 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, 136262 + ... + 139178.

Almost surely, 2^401729240 is an apocalyptic number.

401729240 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 401729240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494776080).

401729240 is an abundant number, since it is smaller than the sum of its proper divisors (587822920).

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

401729240 is a wasteful number, since it uses less digits than its factorization.

401729240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 401729240 is about 20043.1843777380. The cubic root of 401729240 is about 737.8665357953.

The spelling of 401729240 in words is "four hundred one million, seven hundred twenty-nine thousand, two hundred forty".