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416258420 = 22520812921
BaseRepresentation
bin11000110011111…
…001100101110100
31002000021010012112
4120303321211310
51323030232140
6105145510152
713213065254
oct3063714564
91060233175
10416258420
111a3a70126
12b74a2358
1368314976
143d3d7964
1526825c65
hex18cf9974

416258420 has 12 divisors (see below), whose sum is σ = 874142724. Its totient is φ = 166503360.

The previous prime is 416258417. The next prime is 416258459. The reversal of 416258420 is 24852614.

It can be written as a sum of positive squares in 2 ways, for example, as 322633444 + 93624976 = 17962^2 + 9676^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10406441 + ... + 10406480.

It is an arithmetic number, because the mean of its divisors is an integer number (72845227).

Almost surely, 2416258420 is an apocalyptic number.

It is an amenable number.

416258420 is an abundant number, since it is smaller than the sum of its proper divisors (457884304).

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

416258420 is a wasteful number, since it uses less digits than its factorization.

416258420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20812930 (or 20812928 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 416258420 is about 20402.4121122969. The cubic root of 416258420 is about 746.6567755740.

The spelling of 416258420 in words is "four hundred sixteen million, two hundred fifty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 20812921 41625842 83251684 104064605 208129210 416258420