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1410426864 = 2433711109389
BaseRepresentation
bin101010000010001…
…0110011111110000
310122021222002221000
41110010112133300
510342032124424
6351542202000
746644300450
oct12404263760
93567862830
101410426864
11664170640
12334423300
1319628c712
14d5467d60
1583c543c9
hex541167f0

1410426864 has 320 divisors, whose sum is σ = 5106816000. Its totient is φ = 362050560.

The previous prime is 1410426863. The next prime is 1410426869. The reversal of 1410426864 is 4686240141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410426863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3625582 + ... + 3625970.

It is an arithmetic number, because the mean of its divisors is an integer number (15958800).

Almost surely, 21410426864 is an apocalyptic number.

1410426864 is a gapful number since it is divisible by the number (14) 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 1410426864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553408000).

1410426864 is an abundant number, since it is smaller than the sum of its proper divisors (3696389136).

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

1410426864 is a wasteful number, since it uses less digits than its factorization.

1410426864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1410426864 is about 37555.6502273626. The cubic root of 1410426864 is about 1121.4593179757.

The spelling of 1410426864 in words is "one billion, four hundred ten million, four hundred twenty-six thousand, eight hundred sixty-four".