414162240 has 224 divisors, whose sum is σ = 1373306880. Its totient is φ = 105670656.

The previous prime is 414162233. The next prime is 414162251. The reversal of 414162240 is 42261414.

It is a happy number.

It is a super-2 number, since 2×414162240² = 343060722083635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 414162240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3261057 + ... + 3261183.

Almost surely, 2^414162240 is an apocalyptic number.

414162240 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 414162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686653440).

414162240 is an abundant number, since it is smaller than the sum of its proper divisors (959144640).

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

414162240 is a wasteful number, since it uses less digits than its factorization.

414162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 414162240 is about 20350.9763893529. The cubic root of 414162240 is about 745.4013362414.

The spelling of 414162240 in words is "four hundred fourteen million, one hundred sixty-two thousand, two hundred forty".