1629726480 has 100 divisors (see below), whose sum is σ = 5660304012. Its totient is φ = 434592000.

The previous prime is 1629726467. The next prime is 1629726491. The reversal of 1629726480 is 846279261.

It is a happy number.

1629726480 is a `hidden beast` number, since 1 + 62 + 97 + 26 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1164720384 + 465006096 = 34128^2 + 21564^2 .

It is a super-2 number, since 2×1629726480² = 5312016799226380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119271 + ... + 132230.

Almost surely, 2^1629726480 is an apocalyptic number.

1629726480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1629726480 is an abundant number, since it is smaller than the sum of its proper divisors (4030577532).

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

1629726480 is a wasteful number, since it uses less digits than its factorization.

1629726480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251526 (or 251511 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1629726480 is about 40369.8709435638. The cubic root of 1629726480 is about 1176.8060904037.

The spelling of 1629726480 in words is "one billion, six hundred twenty-nine million, seven hundred twenty-six thousand, four hundred eighty".