1541625408 has 42 divisors (see below), whose sum is σ = 4418792534. Its totient is φ = 513874944.

The previous prime is 1541625377. The next prime is 1541625409. The reversal of 1541625408 is 8045261451.

It is a happy number.

1541625408 is a `hidden beast` number, since 1 + 54 + 1 + 62 + 540 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1046651904 + 494973504 = 32352^2 + 22248^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1541625409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1337641 + ... + 1338792.

Almost surely, 2^1541625408 is an apocalyptic number.

1541625408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1541625408 is an abundant number, since it is smaller than the sum of its proper divisors (2877167126).

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

1541625408 is a wasteful number, since it uses less digits than its factorization.

1541625408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676451 (or 2676438 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1541625408 is about 39263.5378945912. The cubic root of 1541625408 is about 1155.2064891965.

Adding to 1541625408 its reverse (8045261451), we get a palindrome (9586886859).

The spelling of 1541625408 in words is "one billion, five hundred forty-one million, six hundred twenty-five thousand, four hundred eight".