1038461424 has 160 divisors (see below), whose sum is σ = 3602102784. Its totient is φ = 248970240.

The previous prime is 1038461363. The next prime is 1038461443. The reversal of 1038461424 is 4241648301.

It is a super-2 number, since 2×1038461424² = 2156804258272215552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37242 + ... + 58854.

Almost surely, 2^1038461424 is an apocalyptic number.

1038461424 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 1038461424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801051392).

1038461424 is an abundant number, since it is smaller than the sum of its proper divisors (2563641360).

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

1038461424 is a wasteful number, since it uses less digits than its factorization.

1038461424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21655 (or 21649 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1038461424 is about 32225.1675558095. The cubic root of 1038461424 is about 1012.6595345629.

The spelling of 1038461424 in words is "one billion, thirty-eight million, four hundred sixty-one thousand, four hundred twenty-four".