401418700 has 72 divisors (see below), whose sum is σ = 939471120. Its totient is φ = 148377600.

The previous prime is 401418683. The next prime is 401418727. The reversal of 401418700 is 7814104.

It is a super-2 number, since 2×401418700² = 322273945419380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75324 + ... + 80476.

It is an arithmetic number, because the mean of its divisors is an integer number (13048210).

Almost surely, 2^401418700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401418700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469735560).

401418700 is an abundant number, since it is smaller than the sum of its proper divisors (538052420).

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

401418700 is a wasteful number, since it uses less digits than its factorization.

401418700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5227 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 401418700 is about 20035.4361070579. The cubic root of 401418700 is about 737.6763611551.

It can be divided in two parts, 40141 and 8700, that added together give a square (48841 = 221²).

The spelling of 401418700 in words is "four hundred one million, four hundred eighteen thousand, seven hundred".