20477952 has 144 divisors (see below), whose sum is σ = 65159640. Its totient is φ = 6144000.

The previous prime is 20477929. The next prime is 20477957. The reversal of 20477952 is 25977402.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×20477952² = 838693036228608, which contains 22 as substring.

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 (20477957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202702 + ... + 202802.

Almost surely, 2^20477952 is an apocalyptic number.

20477952 is a gapful number since it is divisible by the number (22) 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 20477952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32579820).

20477952 is an abundant number, since it is smaller than the sum of its proper divisors (44681688).

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

20477952 is a wasteful number, since it uses less digits than its factorization.

20477952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 20477952 is about 4525.2571197668. The cubic root of 20477952 is about 273.5870312925.

It can be divided in two parts, 2047 and 7952, that added together give a palindrome (9999).

The spelling of 20477952 in words is "twenty million, four hundred seventy-seven thousand, nine hundred fifty-two".