415730820 has 24 divisors (see below), whose sum is σ = 1164046464. Its totient is φ = 110861536.

The previous prime is 415730771. The next prime is 415730827. The reversal of 415730820 is 28037514.

It is a super-2 number, since 2×415730820² = 345664229395744800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (415730827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3464364 + ... + 3464483.

It is an arithmetic number, because the mean of its divisors is an integer number (48501936).

Almost surely, 2^415730820 is an apocalyptic number.

It is an amenable number.

415730820 is an abundant number, since it is smaller than the sum of its proper divisors (748315644).

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

415730820 is a wasteful number, since it uses less digits than its factorization.

415730820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928859 (or 6928857 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 415730820 is about 20389.4781688988. The cubic root of 415730820 is about 746.3411842260.

The spelling of 415730820 in words is "four hundred fifteen million, seven hundred thirty thousand, eight hundred twenty".