414156820 has 144 divisors (see below), whose sum is σ = 1117404288. Its totient is φ = 127491840.

The previous prime is 414156817. The next prime is 414156823. The reversal of 414156820 is 28651414.

It is an interprime number because it is at equal distance from previous prime (414156817) and next prime (414156823).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414156823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1110154 + ... + 1110526.

It is an arithmetic number, because the mean of its divisors is an integer number (7759752).

Almost surely, 2^414156820 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 414156820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558702144).

414156820 is an abundant number, since it is smaller than the sum of its proper divisors (703247468).

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

414156820 is a wasteful number, since it uses less digits than its factorization.

414156820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 414156820 is about 20350.8432257732. The cubic root of 414156820 is about 745.3980846229.

The spelling of 414156820 in words is "four hundred fourteen million, one hundred fifty-six thousand, eight hundred twenty".